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Finding the Fourth Proportional to 1,046.34, 1,568.57 and 675.15

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Solution

The fourth proportional to 1,046.34, 1,568.57 and 675.15 is: 1,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.34 : 1,568.57 = 675.15 : x
  2. Step 2: Convert to fraction form
    1,046.34/1,568.57 = 675.15/x
  3. Step 3: Cross multiply
    1,046.34x = 1,568.57 × 675.15
  4. Step 4: Simplify right side
    1,046.34x = 1,059,024.36
  5. Step 5: Solve for x
    x = 1,059,024.36/1,046.34
  6. Step 6: Final answer
    x = 1,012.12

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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.