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Finding the Fourth Proportional to 1,506.47, 2,259.77 and 532.22

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Solution

The fourth proportional to 1,506.47, 2,259.77 and 532.22 is: 798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.47 : 2,259.77 = 532.22 : x
  2. Step 2: Convert to fraction form
    1,506.47/2,259.77 = 532.22/x
  3. Step 3: Cross multiply
    1,506.47x = 2,259.77 × 532.22
  4. Step 4: Simplify right side
    1,506.47x = 1,202,680.83
  5. Step 5: Solve for x
    x = 1,202,680.83/1,506.47
  6. Step 6: Final answer
    x = 798.35

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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.