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Finding the Fourth Proportional to 1,125.70, 1,689.54 and 606.16

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Solution

The fourth proportional to 1,125.70, 1,689.54 and 606.16 is: 909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.70 : 1,689.54 = 606.16 : x
  2. Step 2: Convert to fraction form
    1,125.70/1,689.54 = 606.16/x
  3. Step 3: Cross multiply
    1,125.70x = 1,689.54 × 606.16
  4. Step 4: Simplify right side
    1,125.70x = 1,024,131.57
  5. Step 5: Solve for x
    x = 1,024,131.57/1,125.70
  6. Step 6: Final answer
    x = 909.77

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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.