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Finding the Fourth Proportional to 686.27, 1,030.93 and 412.53

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Solution

The fourth proportional to 686.27, 1,030.93 and 412.53 is: 619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.27 : 1,030.93 = 412.53 : x
  2. Step 2: Convert to fraction form
    686.27/1,030.93 = 412.53/x
  3. Step 3: Cross multiply
    686.27x = 1,030.93 × 412.53
  4. Step 4: Simplify right side
    686.27x = 425,284.66
  5. Step 5: Solve for x
    x = 425,284.66/686.27
  6. Step 6: Final answer
    x = 619.70

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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.