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Finding the Fourth Proportional to 1,078.64, 1,617.68 and 348.28

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Solution

The fourth proportional to 1,078.64, 1,617.68 and 348.28 is: 522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.64 : 1,617.68 = 348.28 : x
  2. Step 2: Convert to fraction form
    1,078.64/1,617.68 = 348.28/x
  3. Step 3: Cross multiply
    1,078.64x = 1,617.68 × 348.28
  4. Step 4: Simplify right side
    1,078.64x = 563,405.59
  5. Step 5: Solve for x
    x = 563,405.59/1,078.64
  6. Step 6: Final answer
    x = 522.33

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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.