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Finding the Fourth Proportional to 586.73, 807.92 and 507.89

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Solution

The fourth proportional to 586.73, 807.92 and 507.89 is: 699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.73 : 807.92 = 507.89 : x
  2. Step 2: Convert to fraction form
    586.73/807.92 = 507.89/x
  3. Step 3: Cross multiply
    586.73x = 807.92 × 507.89
  4. Step 4: Simplify right side
    586.73x = 410,327.91
  5. Step 5: Solve for x
    x = 410,327.91/586.73
  6. Step 6: Final answer
    x = 699.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.