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Finding the Fourth Proportional to 1,036.35, 1,555.13 and 387.14

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Solution

The fourth proportional to 1,036.35, 1,555.13 and 387.14 is: 580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.35 : 1,555.13 = 387.14 : x
  2. Step 2: Convert to fraction form
    1,036.35/1,555.13 = 387.14/x
  3. Step 3: Cross multiply
    1,036.35x = 1,555.13 × 387.14
  4. Step 4: Simplify right side
    1,036.35x = 602,045.25
  5. Step 5: Solve for x
    x = 602,045.25/1,036.35
  6. Step 6: Final answer
    x = 580.93

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