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Finding the Fourth Proportional to 1,068.30, 1,600.47 and 581.76

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Solution

The fourth proportional to 1,068.30, 1,600.47 and 581.76 is: 871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.30 : 1,600.47 = 581.76 : x
  2. Step 2: Convert to fraction form
    1,068.30/1,600.47 = 581.76/x
  3. Step 3: Cross multiply
    1,068.30x = 1,600.47 × 581.76
  4. Step 4: Simplify right side
    1,068.30x = 931,089.43
  5. Step 5: Solve for x
    x = 931,089.43/1,068.30
  6. Step 6: Final answer
    x = 871.56

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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.