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Finding the Fourth Proportional to 1,047.90, 1,568.60 and 578.18

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Solution

The fourth proportional to 1,047.90, 1,568.60 and 578.18 is: 865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.90 : 1,568.60 = 578.18 : x
  2. Step 2: Convert to fraction form
    1,047.90/1,568.60 = 578.18/x
  3. Step 3: Cross multiply
    1,047.90x = 1,568.60 × 578.18
  4. Step 4: Simplify right side
    1,047.90x = 906,933.15
  5. Step 5: Solve for x
    x = 906,933.15/1,047.90
  6. Step 6: Final answer
    x = 865.48

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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.