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Finding the Fourth Proportional to 586.17, 807.17 and 503.15

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Solution

The fourth proportional to 586.17, 807.17 and 503.15 is: 692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.17 : 807.17 = 503.15 : x
  2. Step 2: Convert to fraction form
    586.17/807.17 = 503.15/x
  3. Step 3: Cross multiply
    586.17x = 807.17 × 503.15
  4. Step 4: Simplify right side
    586.17x = 406,121.03
  5. Step 5: Solve for x
    x = 406,121.03/586.17
  6. Step 6: Final answer
    x = 692.84

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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.