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Finding the Fourth Proportional to 753.88, 1,032.56 and 709.60

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Solution

The fourth proportional to 753.88, 1,032.56 and 709.60 is: 971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.88 : 1,032.56 = 709.60 : x
  2. Step 2: Convert to fraction form
    753.88/1,032.56 = 709.60/x
  3. Step 3: Cross multiply
    753.88x = 1,032.56 × 709.60
  4. Step 4: Simplify right side
    753.88x = 732,704.58
  5. Step 5: Solve for x
    x = 732,704.58/753.88
  6. Step 6: Final answer
    x = 971.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.