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Finding the Fourth Proportional to 1,036.92, 1,431.01 and 571.17

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Solution

The fourth proportional to 1,036.92, 1,431.01 and 571.17 is: 788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.92 : 1,431.01 = 571.17 : x
  2. Step 2: Convert to fraction form
    1,036.92/1,431.01 = 571.17/x
  3. Step 3: Cross multiply
    1,036.92x = 1,431.01 × 571.17
  4. Step 4: Simplify right side
    1,036.92x = 817,342.83
  5. Step 5: Solve for x
    x = 817,342.83/1,036.92
  6. Step 6: Final answer
    x = 788.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.