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Finding the Fourth Proportional to 1,232.52, 1,701.06 and 708.57

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Solution

The fourth proportional to 1,232.52, 1,701.06 and 708.57 is: 977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.52 : 1,701.06 = 708.57 : x
  2. Step 2: Convert to fraction form
    1,232.52/1,701.06 = 708.57/x
  3. Step 3: Cross multiply
    1,232.52x = 1,701.06 × 708.57
  4. Step 4: Simplify right side
    1,232.52x = 1,205,320.08
  5. Step 5: Solve for x
    x = 1,205,320.08/1,232.52
  6. Step 6: Final answer
    x = 977.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.