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Finding the Fourth Proportional to 1,062.12, 1,592.94 and 378.12

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Solution

The fourth proportional to 1,062.12, 1,592.94 and 378.12 is: 567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.12 : 1,592.94 = 378.12 : x
  2. Step 2: Convert to fraction form
    1,062.12/1,592.94 = 378.12/x
  3. Step 3: Cross multiply
    1,062.12x = 1,592.94 × 378.12
  4. Step 4: Simplify right side
    1,062.12x = 602,322.47
  5. Step 5: Solve for x
    x = 602,322.47/1,062.12
  6. Step 6: Final answer
    x = 567.09

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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.