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Finding the Fourth Proportional to 1,044.64, 1,566.96 and 582.34

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Solution

The fourth proportional to 1,044.64, 1,566.96 and 582.34 is: 873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.64 : 1,566.96 = 582.34 : x
  2. Step 2: Convert to fraction form
    1,044.64/1,566.96 = 582.34/x
  3. Step 3: Cross multiply
    1,044.64x = 1,566.96 × 582.34
  4. Step 4: Simplify right side
    1,044.64x = 912,503.49
  5. Step 5: Solve for x
    x = 912,503.49/1,044.64
  6. Step 6: Final answer
    x = 873.51

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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.