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Finding the Fourth Proportional to 1,057, 1,458.72 and 584.90

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Solution

The fourth proportional to 1,057, 1,458.72 and 584.90 is: 807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057 : 1,458.72 = 584.90 : x
  2. Step 2: Convert to fraction form
    1,057/1,458.72 = 584.90/x
  3. Step 3: Cross multiply
    1,057x = 1,458.72 × 584.90
  4. Step 4: Simplify right side
    1,057x = 853,205.33
  5. Step 5: Solve for x
    x = 853,205.33/1,057
  6. Step 6: Final answer
    x = 807.20

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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.