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Finding the Fourth Proportional to 1,342.48, 1,851.99 and 870.53

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Solution

The fourth proportional to 1,342.48, 1,851.99 and 870.53 is: 1,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.48 : 1,851.99 = 870.53 : x
  2. Step 2: Convert to fraction form
    1,342.48/1,851.99 = 870.53/x
  3. Step 3: Cross multiply
    1,342.48x = 1,851.99 × 870.53
  4. Step 4: Simplify right side
    1,342.48x = 1,612,217.48
  5. Step 5: Solve for x
    x = 1,612,217.48/1,342.48
  6. Step 6: Final answer
    x = 1,200.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.