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Finding the Fourth Proportional to 1,133.92, 1,700.88 and 624.16

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Solution

The fourth proportional to 1,133.92, 1,700.88 and 624.16 is: 936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.92 : 1,700.88 = 624.16 : x
  2. Step 2: Convert to fraction form
    1,133.92/1,700.88 = 624.16/x
  3. Step 3: Cross multiply
    1,133.92x = 1,700.88 × 624.16
  4. Step 4: Simplify right side
    1,133.92x = 1,061,621.26
  5. Step 5: Solve for x
    x = 1,061,621.26/1,133.92
  6. Step 6: Final answer
    x = 936.24

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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.