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Finding the Fourth Proportional to 1,045.88, 1,574.92 and 773.88

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Solution

The fourth proportional to 1,045.88, 1,574.92 and 773.88 is: 1,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.88 : 1,574.92 = 773.88 : x
  2. Step 2: Convert to fraction form
    1,045.88/1,574.92 = 773.88/x
  3. Step 3: Cross multiply
    1,045.88x = 1,574.92 × 773.88
  4. Step 4: Simplify right side
    1,045.88x = 1,218,799.09
  5. Step 5: Solve for x
    x = 1,218,799.09/1,045.88
  6. Step 6: Final answer
    x = 1,165.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.