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Finding the Fourth Proportional to 1,022.95, 1,534.52 and 467.61

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Solution

The fourth proportional to 1,022.95, 1,534.52 and 467.61 is: 701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.95 : 1,534.52 = 467.61 : x
  2. Step 2: Convert to fraction form
    1,022.95/1,534.52 = 467.61/x
  3. Step 3: Cross multiply
    1,022.95x = 1,534.52 × 467.61
  4. Step 4: Simplify right side
    1,022.95x = 717,556.90
  5. Step 5: Solve for x
    x = 717,556.90/1,022.95
  6. Step 6: Final answer
    x = 701.46

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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.