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Finding the Fourth Proportional to 1,177.91, 1,625.54 and 653.98

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Solution

The fourth proportional to 1,177.91, 1,625.54 and 653.98 is: 902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.91 : 1,625.54 = 653.98 : x
  2. Step 2: Convert to fraction form
    1,177.91/1,625.54 = 653.98/x
  3. Step 3: Cross multiply
    1,177.91x = 1,625.54 × 653.98
  4. Step 4: Simplify right side
    1,177.91x = 1,063,070.65
  5. Step 5: Solve for x
    x = 1,063,070.65/1,177.91
  6. Step 6: Final answer
    x = 902.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.