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Finding the Fourth Proportional to 691.77, 955.04 and 456.13

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Solution

The fourth proportional to 691.77, 955.04 and 456.13 is: 629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.77 : 955.04 = 456.13 : x
  2. Step 2: Convert to fraction form
    691.77/955.04 = 456.13/x
  3. Step 3: Cross multiply
    691.77x = 955.04 × 456.13
  4. Step 4: Simplify right side
    691.77x = 435,623.87
  5. Step 5: Solve for x
    x = 435,623.87/691.77
  6. Step 6: Final answer
    x = 629.72

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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.