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Finding the Fourth Proportional to 714.88, 1,065.56 and 691.19

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Solution

The fourth proportional to 714.88, 1,065.56 and 691.19 is: 1,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.88 : 1,065.56 = 691.19 : x
  2. Step 2: Convert to fraction form
    714.88/1,065.56 = 691.19/x
  3. Step 3: Cross multiply
    714.88x = 1,065.56 × 691.19
  4. Step 4: Simplify right side
    714.88x = 736,501.75
  5. Step 5: Solve for x
    x = 736,501.75/714.88
  6. Step 6: Final answer
    x = 1,030.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.