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Finding the Fourth Proportional to 771.61, 1,064.90 and 476.91

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Solution

The fourth proportional to 771.61, 1,064.90 and 476.91 is: 658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.61 : 1,064.90 = 476.91 : x
  2. Step 2: Convert to fraction form
    771.61/1,064.90 = 476.91/x
  3. Step 3: Cross multiply
    771.61x = 1,064.90 × 476.91
  4. Step 4: Simplify right side
    771.61x = 507,861.46
  5. Step 5: Solve for x
    x = 507,861.46/771.61
  6. Step 6: Final answer
    x = 658.18

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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.