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Finding the Fourth Proportional to 1,044.10, 1,566.17 and 466.86

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Solution

The fourth proportional to 1,044.10, 1,566.17 and 466.86 is: 700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.10 : 1,566.17 = 466.86 : x
  2. Step 2: Convert to fraction form
    1,044.10/1,566.17 = 466.86/x
  3. Step 3: Cross multiply
    1,044.10x = 1,566.17 × 466.86
  4. Step 4: Simplify right side
    1,044.10x = 731,182.13
  5. Step 5: Solve for x
    x = 731,182.13/1,044.10
  6. Step 6: Final answer
    x = 700.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.