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Finding the Fourth Proportional to 1,049.70, 1,448.59 and 577.65

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Solution

The fourth proportional to 1,049.70, 1,448.59 and 577.65 is: 797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.70 : 1,448.59 = 577.65 : x
  2. Step 2: Convert to fraction form
    1,049.70/1,448.59 = 577.65/x
  3. Step 3: Cross multiply
    1,049.70x = 1,448.59 × 577.65
  4. Step 4: Simplify right side
    1,049.70x = 836,773.48
  5. Step 5: Solve for x
    x = 836,773.48/1,049.70
  6. Step 6: Final answer
    x = 797.16

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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.