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Finding the Fourth Proportional to 1,631.19, 2,445.65 and 520.24

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Solution

The fourth proportional to 1,631.19, 2,445.65 and 520.24 is: 780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.19 : 2,445.65 = 520.24 : x
  2. Step 2: Convert to fraction form
    1,631.19/2,445.65 = 520.24/x
  3. Step 3: Cross multiply
    1,631.19x = 2,445.65 × 520.24
  4. Step 4: Simplify right side
    1,631.19x = 1,272,324.96
  5. Step 5: Solve for x
    x = 1,272,324.96/1,631.19
  6. Step 6: Final answer
    x = 780.00

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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.