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Finding the Fourth Proportional to 686.84, 947.68 and 500.03

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Solution

The fourth proportional to 686.84, 947.68 and 500.03 is: 689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.84 : 947.68 = 500.03 : x
  2. Step 2: Convert to fraction form
    686.84/947.68 = 500.03/x
  3. Step 3: Cross multiply
    686.84x = 947.68 × 500.03
  4. Step 4: Simplify right side
    686.84x = 473,862.44
  5. Step 5: Solve for x
    x = 473,862.44/686.84
  6. Step 6: Final answer
    x = 689.91

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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.