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Finding the Fourth Proportional to 710.97, 1,065.07 and 596.14

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Solution

The fourth proportional to 710.97, 1,065.07 and 596.14 is: 893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.97 : 1,065.07 = 596.14 : x
  2. Step 2: Convert to fraction form
    710.97/1,065.07 = 596.14/x
  3. Step 3: Cross multiply
    710.97x = 1,065.07 × 596.14
  4. Step 4: Simplify right side
    710.97x = 634,930.83
  5. Step 5: Solve for x
    x = 634,930.83/710.97
  6. Step 6: Final answer
    x = 893.05

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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.