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Finding the Fourth Proportional to 1,050.57, 1,449.89 and 584.82

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Solution

The fourth proportional to 1,050.57, 1,449.89 and 584.82 is: 807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.57 : 1,449.89 = 584.82 : x
  2. Step 2: Convert to fraction form
    1,050.57/1,449.89 = 584.82/x
  3. Step 3: Cross multiply
    1,050.57x = 1,449.89 × 584.82
  4. Step 4: Simplify right side
    1,050.57x = 847,921.75
  5. Step 5: Solve for x
    x = 847,921.75/1,050.57
  6. Step 6: Final answer
    x = 807.11

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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.