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Finding the Fourth Proportional to 1,174.15, 1,761.32 and 524.95

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Solution

The fourth proportional to 1,174.15, 1,761.32 and 524.95 is: 787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.15 : 1,761.32 = 524.95 : x
  2. Step 2: Convert to fraction form
    1,174.15/1,761.32 = 524.95/x
  3. Step 3: Cross multiply
    1,174.15x = 1,761.32 × 524.95
  4. Step 4: Simplify right side
    1,174.15x = 924,604.93
  5. Step 5: Solve for x
    x = 924,604.93/1,174.15
  6. Step 6: Final answer
    x = 787.47

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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.