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Finding the Fourth Proportional to 1,004.92, 1,387.26 and 606.76

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Solution

The fourth proportional to 1,004.92, 1,387.26 and 606.76 is: 837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.92 : 1,387.26 = 606.76 : x
  2. Step 2: Convert to fraction form
    1,004.92/1,387.26 = 606.76/x
  3. Step 3: Cross multiply
    1,004.92x = 1,387.26 × 606.76
  4. Step 4: Simplify right side
    1,004.92x = 841,733.88
  5. Step 5: Solve for x
    x = 841,733.88/1,004.92
  6. Step 6: Final answer
    x = 837.61

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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.