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Finding the Fourth Proportional to 1,069.40, 1,604.74 and 582.80

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Solution

The fourth proportional to 1,069.40, 1,604.74 and 582.80 is: 874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.40 : 1,604.74 = 582.80 : x
  2. Step 2: Convert to fraction form
    1,069.40/1,604.74 = 582.80/x
  3. Step 3: Cross multiply
    1,069.40x = 1,604.74 × 582.80
  4. Step 4: Simplify right side
    1,069.40x = 935,242.47
  5. Step 5: Solve for x
    x = 935,242.47/1,069.40
  6. Step 6: Final answer
    x = 874.55

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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.