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Finding the Fourth Proportional to 614.16, 916.83 and 521.88

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Solution

The fourth proportional to 614.16, 916.83 and 521.88 is: 779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 916.83 = 521.88 : x
  2. Step 2: Convert to fraction form
    614.16/916.83 = 521.88/x
  3. Step 3: Cross multiply
    614.16x = 916.83 × 521.88
  4. Step 4: Simplify right side
    614.16x = 478,475.24
  5. Step 5: Solve for x
    x = 478,475.24/614.16
  6. Step 6: Final answer
    x = 779.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.