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Finding the Fourth Proportional to 1,506.34, 2,259.04 and 532.21

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Solution

The fourth proportional to 1,506.34, 2,259.04 and 532.21 is: 798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.34 : 2,259.04 = 532.21 : x
  2. Step 2: Convert to fraction form
    1,506.34/2,259.04 = 532.21/x
  3. Step 3: Cross multiply
    1,506.34x = 2,259.04 × 532.21
  4. Step 4: Simplify right side
    1,506.34x = 1,202,283.68
  5. Step 5: Solve for x
    x = 1,202,283.68/1,506.34
  6. Step 6: Final answer
    x = 798.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.