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Finding the Fourth Proportional to 1,069.81, 1,605.32 and 582.90

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Solution

The fourth proportional to 1,069.81, 1,605.32 and 582.90 is: 874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.81 : 1,605.32 = 582.90 : x
  2. Step 2: Convert to fraction form
    1,069.81/1,605.32 = 582.90/x
  3. Step 3: Cross multiply
    1,069.81x = 1,605.32 × 582.90
  4. Step 4: Simplify right side
    1,069.81x = 935,734.28
  5. Step 5: Solve for x
    x = 935,734.28/1,069.81
  6. Step 6: Final answer
    x = 874.68

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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.