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Finding the Fourth Proportional to 714, 1,069.54 and 598.11

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Solution

The fourth proportional to 714, 1,069.54 and 598.11 is: 895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    714 : 1,069.54 = 598.11 : x
  2. Step 2: Convert to fraction form
    714/1,069.54 = 598.11/x
  3. Step 3: Cross multiply
    714x = 1,069.54 × 598.11
  4. Step 4: Simplify right side
    714x = 639,702.57
  5. Step 5: Solve for x
    x = 639,702.57/714
  6. Step 6: Final answer
    x = 895.94

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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.