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Finding the Fourth Proportional to 1,013.48, 1,520.28 and 283.05

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Solution

The fourth proportional to 1,013.48, 1,520.28 and 283.05 is: 424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.48 : 1,520.28 = 283.05 : x
  2. Step 2: Convert to fraction form
    1,013.48/1,520.28 = 283.05/x
  3. Step 3: Cross multiply
    1,013.48x = 1,520.28 × 283.05
  4. Step 4: Simplify right side
    1,013.48x = 430,318.73
  5. Step 5: Solve for x
    x = 430,318.73/1,013.48
  6. Step 6: Final answer
    x = 424.60

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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.