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Finding the Fourth Proportional to 1,078.80, 1,617.86 and 348.24

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Solution

The fourth proportional to 1,078.80, 1,617.86 and 348.24 is: 522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.80 : 1,617.86 = 348.24 : x
  2. Step 2: Convert to fraction form
    1,078.80/1,617.86 = 348.24/x
  3. Step 3: Cross multiply
    1,078.80x = 1,617.86 × 348.24
  4. Step 4: Simplify right side
    1,078.80x = 563,403.57
  5. Step 5: Solve for x
    x = 563,403.57/1,078.80
  6. Step 6: Final answer
    x = 522.25

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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.