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Finding the Fourth Proportional to 651.15, 974.40 and 521.98

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Solution

The fourth proportional to 651.15, 974.40 and 521.98 is: 781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.15 : 974.40 = 521.98 : x
  2. Step 2: Convert to fraction form
    651.15/974.40 = 521.98/x
  3. Step 3: Cross multiply
    651.15x = 974.40 × 521.98
  4. Step 4: Simplify right side
    651.15x = 508,617.31
  5. Step 5: Solve for x
    x = 508,617.31/651.15
  6. Step 6: Final answer
    x = 781.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.