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Finding the Fourth Proportional to 1,456.80, 2,184.66 and 532.08

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Solution

The fourth proportional to 1,456.80, 2,184.66 and 532.08 is: 797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.80 : 2,184.66 = 532.08 : x
  2. Step 2: Convert to fraction form
    1,456.80/2,184.66 = 532.08/x
  3. Step 3: Cross multiply
    1,456.80x = 2,184.66 × 532.08
  4. Step 4: Simplify right side
    1,456.80x = 1,162,413.89
  5. Step 5: Solve for x
    x = 1,162,413.89/1,456.80
  6. Step 6: Final answer
    x = 797.92

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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.