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Finding the Fourth Proportional to 1,013.19, 1,520.04 and 282.77

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Solution

The fourth proportional to 1,013.19, 1,520.04 and 282.77 is: 424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.19 : 1,520.04 = 282.77 : x
  2. Step 2: Convert to fraction form
    1,013.19/1,520.04 = 282.77/x
  3. Step 3: Cross multiply
    1,013.19x = 1,520.04 × 282.77
  4. Step 4: Simplify right side
    1,013.19x = 429,820.87
  5. Step 5: Solve for x
    x = 429,820.87/1,013.19
  6. Step 6: Final answer
    x = 424.23

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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.