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Finding the Fourth Proportional to 1,043.57, 1,564.29 and 581.55

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Solution

The fourth proportional to 1,043.57, 1,564.29 and 581.55 is: 871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.57 : 1,564.29 = 581.55 : x
  2. Step 2: Convert to fraction form
    1,043.57/1,564.29 = 581.55/x
  3. Step 3: Cross multiply
    1,043.57x = 1,564.29 × 581.55
  4. Step 4: Simplify right side
    1,043.57x = 909,712.85
  5. Step 5: Solve for x
    x = 909,712.85/1,043.57
  6. Step 6: Final answer
    x = 871.74

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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.