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Finding the Fourth Proportional to 1,141.88, 1,573.47 and 876.30

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Solution

The fourth proportional to 1,141.88, 1,573.47 and 876.30 is: 1,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.88 : 1,573.47 = 876.30 : x
  2. Step 2: Convert to fraction form
    1,141.88/1,573.47 = 876.30/x
  3. Step 3: Cross multiply
    1,141.88x = 1,573.47 × 876.30
  4. Step 4: Simplify right side
    1,141.88x = 1,378,831.76
  5. Step 5: Solve for x
    x = 1,378,831.76/1,141.88
  6. Step 6: Final answer
    x = 1,207.52

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.