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Finding the Fourth Proportional to 1,520.40, 2,280.74 and 424.77

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Solution

The fourth proportional to 1,520.40, 2,280.74 and 424.77 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.40 : 2,280.74 = 424.77 : x
  2. Step 2: Convert to fraction form
    1,520.40/2,280.74 = 424.77/x
  3. Step 3: Cross multiply
    1,520.40x = 2,280.74 × 424.77
  4. Step 4: Simplify right side
    1,520.40x = 968,779.25
  5. Step 5: Solve for x
    x = 968,779.25/1,520.40
  6. Step 6: Final answer
    x = 637.19

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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.