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Finding the Fourth Proportional to 970,732.10, 1,456,098.15 and 687,296.90

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Solution

The fourth proportional to 970,732.10, 1,456,098.15 and 687,296.90 is: 1,030,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,732.10 : 1,456,098.15 = 687,296.90 : x
  2. Step 2: Convert to fraction form
    970,732.10/1,456,098.15 = 687,296.90/x
  3. Step 3: Cross multiply
    970,732.10x = 1,456,098.15 × 687,296.90
  4. Step 4: Simplify right side
    970,732.10x = 1,000,771,744,590.74
  5. Step 5: Solve for x
    x = 1,000,771,744,590.74/970,732.10
  6. Step 6: Final answer
    x = 1,030,945.35

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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.