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Finding the Fourth Proportional to 1,013.47, 1,520.34 and 465.79

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Solution

The fourth proportional to 1,013.47, 1,520.34 and 465.79 is: 698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.47 : 1,520.34 = 465.79 : x
  2. Step 2: Convert to fraction form
    1,013.47/1,520.34 = 465.79/x
  3. Step 3: Cross multiply
    1,013.47x = 1,520.34 × 465.79
  4. Step 4: Simplify right side
    1,013.47x = 708,159.17
  5. Step 5: Solve for x
    x = 708,159.17/1,013.47
  6. Step 6: Final answer
    x = 698.75

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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.