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Finding the Fourth Proportional to 1,046.59, 1,567.84 and 582.97

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Solution

The fourth proportional to 1,046.59, 1,567.84 and 582.97 is: 873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.59 : 1,567.84 = 582.97 : x
  2. Step 2: Convert to fraction form
    1,046.59/1,567.84 = 582.97/x
  3. Step 3: Cross multiply
    1,046.59x = 1,567.84 × 582.97
  4. Step 4: Simplify right side
    1,046.59x = 914,009.21
  5. Step 5: Solve for x
    x = 914,009.21/1,046.59
  6. Step 6: Final answer
    x = 873.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.