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Finding the Fourth Proportional to 1,134.75, 1,565.88 and 630.60

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Solution

The fourth proportional to 1,134.75, 1,565.88 and 630.60 is: 870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.75 : 1,565.88 = 630.60 : x
  2. Step 2: Convert to fraction form
    1,134.75/1,565.88 = 630.60/x
  3. Step 3: Cross multiply
    1,134.75x = 1,565.88 × 630.60
  4. Step 4: Simplify right side
    1,134.75x = 987,443.93
  5. Step 5: Solve for x
    x = 987,443.93/1,134.75
  6. Step 6: Final answer
    x = 870.19

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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.