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Finding the Fourth Proportional to 1,542.99, 2,314.76 and 569.10

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Solution

The fourth proportional to 1,542.99, 2,314.76 and 569.10 is: 853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.99 : 2,314.76 = 569.10 : x
  2. Step 2: Convert to fraction form
    1,542.99/2,314.76 = 569.10/x
  3. Step 3: Cross multiply
    1,542.99x = 2,314.76 × 569.10
  4. Step 4: Simplify right side
    1,542.99x = 1,317,327.07
  5. Step 5: Solve for x
    x = 1,317,327.07/1,542.99
  6. Step 6: Final answer
    x = 853.75

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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.