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Finding the Fourth Proportional to 1,520.52, 2,280.47 and 424.89

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Solution

The fourth proportional to 1,520.52, 2,280.47 and 424.89 is: 637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.52 : 2,280.47 = 424.89 : x
  2. Step 2: Convert to fraction form
    1,520.52/2,280.47 = 424.89/x
  3. Step 3: Cross multiply
    1,520.52x = 2,280.47 × 424.89
  4. Step 4: Simplify right side
    1,520.52x = 968,947.11
  5. Step 5: Solve for x
    x = 968,947.11/1,520.52
  6. Step 6: Final answer
    x = 637.25

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1.5x scale

Why These Related Problems?

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