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Finding the Fourth Proportional to 1,542.42, 2,314.53 and 569.19

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Solution

The fourth proportional to 1,542.42, 2,314.53 and 569.19 is: 854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.42 : 2,314.53 = 569.19 : x
  2. Step 2: Convert to fraction form
    1,542.42/2,314.53 = 569.19/x
  3. Step 3: Cross multiply
    1,542.42x = 2,314.53 × 569.19
  4. Step 4: Simplify right side
    1,542.42x = 1,317,407.33
  5. Step 5: Solve for x
    x = 1,317,407.33/1,542.42
  6. Step 6: Final answer
    x = 854.12

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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.