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Finding the Fourth Proportional to 929.87, 1,282.73 and 631.13

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Solution

The fourth proportional to 929.87, 1,282.73 and 631.13 is: 870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.87 : 1,282.73 = 631.13 : x
  2. Step 2: Convert to fraction form
    929.87/1,282.73 = 631.13/x
  3. Step 3: Cross multiply
    929.87x = 1,282.73 × 631.13
  4. Step 4: Simplify right side
    929.87x = 809,569.38
  5. Step 5: Solve for x
    x = 809,569.38/929.87
  6. Step 6: Final answer
    x = 870.63

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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.