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Finding the Fourth Proportional to 771.65, 1,064.80 and 476.93

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Solution

The fourth proportional to 771.65, 1,064.80 and 476.93 is: 658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.65 : 1,064.80 = 476.93 : x
  2. Step 2: Convert to fraction form
    771.65/1,064.80 = 476.93/x
  3. Step 3: Cross multiply
    771.65x = 1,064.80 × 476.93
  4. Step 4: Simplify right side
    771.65x = 507,835.06
  5. Step 5: Solve for x
    x = 507,835.06/771.65
  6. Step 6: Final answer
    x = 658.12

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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.