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Finding the Fourth Proportional to 1,767.54, 2,651.56 and 534.78

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Solution

The fourth proportional to 1,767.54, 2,651.56 and 534.78 is: 802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.54 : 2,651.56 = 534.78 : x
  2. Step 2: Convert to fraction form
    1,767.54/2,651.56 = 534.78/x
  3. Step 3: Cross multiply
    1,767.54x = 2,651.56 × 534.78
  4. Step 4: Simplify right side
    1,767.54x = 1,418,001.26
  5. Step 5: Solve for x
    x = 1,418,001.26/1,767.54
  6. Step 6: Final answer
    x = 802.25

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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.