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Finding the Fourth Proportional to 1,059.88, 1,461.30 and 666.76

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Solution

The fourth proportional to 1,059.88, 1,461.30 and 666.76 is: 919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.88 : 1,461.30 = 666.76 : x
  2. Step 2: Convert to fraction form
    1,059.88/1,461.30 = 666.76/x
  3. Step 3: Cross multiply
    1,059.88x = 1,461.30 × 666.76
  4. Step 4: Simplify right side
    1,059.88x = 974,336.39
  5. Step 5: Solve for x
    x = 974,336.39/1,059.88
  6. Step 6: Final answer
    x = 919.29

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Half 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.