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Finding the Fourth Proportional to 1,527.75, 2,292.02 and 706.61

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Solution

The fourth proportional to 1,527.75, 2,292.02 and 706.61 is: 1,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.75 : 2,292.02 = 706.61 : x
  2. Step 2: Convert to fraction form
    1,527.75/2,292.02 = 706.61/x
  3. Step 3: Cross multiply
    1,527.75x = 2,292.02 × 706.61
  4. Step 4: Simplify right side
    1,527.75x = 1,619,569.31
  5. Step 5: Solve for x
    x = 1,619,569.31/1,527.75
  6. Step 6: Final answer
    x = 1,060.10

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Why These Related Problems?

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