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Finding the Fourth Proportional to 1,542.98, 2,314.56 and 569.76

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Solution

The fourth proportional to 1,542.98, 2,314.56 and 569.76 is: 854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.98 : 2,314.56 = 569.76 : x
  2. Step 2: Convert to fraction form
    1,542.98/2,314.56 = 569.76/x
  3. Step 3: Cross multiply
    1,542.98x = 2,314.56 × 569.76
  4. Step 4: Simplify right side
    1,542.98x = 1,318,743.71
  5. Step 5: Solve for x
    x = 1,318,743.71/1,542.98
  6. Step 6: Final answer
    x = 854.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.