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Finding the Fourth Proportional to 1,116.88, 1,675.36 and 295.28

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Solution

The fourth proportional to 1,116.88, 1,675.36 and 295.28 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.88 : 1,675.36 = 295.28 : x
  2. Step 2: Convert to fraction form
    1,116.88/1,675.36 = 295.28/x
  3. Step 3: Cross multiply
    1,116.88x = 1,675.36 × 295.28
  4. Step 4: Simplify right side
    1,116.88x = 494,700.30
  5. Step 5: Solve for x
    x = 494,700.30/1,116.88
  6. Step 6: Final answer
    x = 442.93

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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.