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Finding the Fourth Proportional to 1,129.62, 1,558.87 and 1,036.74

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Solution

The fourth proportional to 1,129.62, 1,558.87 and 1,036.74 is: 1,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.62 : 1,558.87 = 1,036.74 : x
  2. Step 2: Convert to fraction form
    1,129.62/1,558.87 = 1,036.74/x
  3. Step 3: Cross multiply
    1,129.62x = 1,558.87 × 1,036.74
  4. Step 4: Simplify right side
    1,129.62x = 1,616,140.29
  5. Step 5: Solve for x
    x = 1,616,140.29/1,129.62
  6. Step 6: Final answer
    x = 1,430.69

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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.