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Finding the Fourth Proportional to 1,180.88, 1,772.56 and 565.10

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Solution

The fourth proportional to 1,180.88, 1,772.56 and 565.10 is: 848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.88 : 1,772.56 = 565.10 : x
  2. Step 2: Convert to fraction form
    1,180.88/1,772.56 = 565.10/x
  3. Step 3: Cross multiply
    1,180.88x = 1,772.56 × 565.10
  4. Step 4: Simplify right side
    1,180.88x = 1,001,673.66
  5. Step 5: Solve for x
    x = 1,001,673.66/1,180.88
  6. Step 6: Final answer
    x = 848.24

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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.