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Finding the Fourth Proportional to 686.34, 1,030.46 and 353.02

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Solution

The fourth proportional to 686.34, 1,030.46 and 353.02 is: 530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.34 : 1,030.46 = 353.02 : x
  2. Step 2: Convert to fraction form
    686.34/1,030.46 = 353.02/x
  3. Step 3: Cross multiply
    686.34x = 1,030.46 × 353.02
  4. Step 4: Simplify right side
    686.34x = 363,772.99
  5. Step 5: Solve for x
    x = 363,772.99/686.34
  6. Step 6: Final answer
    x = 530.02

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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.