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Finding the Fourth Proportional to 1,507.97, 2,262.67 and 534.53

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Solution

The fourth proportional to 1,507.97, 2,262.67 and 534.53 is: 802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.97 : 2,262.67 = 534.53 : x
  2. Step 2: Convert to fraction form
    1,507.97/2,262.67 = 534.53/x
  3. Step 3: Cross multiply
    1,507.97x = 2,262.67 × 534.53
  4. Step 4: Simplify right side
    1,507.97x = 1,209,452.35
  5. Step 5: Solve for x
    x = 1,209,452.35/1,507.97
  6. Step 6: Final answer
    x = 802.04

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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.