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Finding the Fourth Proportional to 686.55, 946.76 and 607.89

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Solution

The fourth proportional to 686.55, 946.76 and 607.89 is: 838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.55 : 946.76 = 607.89 : x
  2. Step 2: Convert to fraction form
    686.55/946.76 = 607.89/x
  3. Step 3: Cross multiply
    686.55x = 946.76 × 607.89
  4. Step 4: Simplify right side
    686.55x = 575,522.90
  5. Step 5: Solve for x
    x = 575,522.90/686.55
  6. Step 6: Final answer
    x = 838.28

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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.