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Finding the Fourth Proportional to 1,078.52, 1,488.48 and 606.50

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Solution

The fourth proportional to 1,078.52, 1,488.48 and 606.50 is: 837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.52 : 1,488.48 = 606.50 : x
  2. Step 2: Convert to fraction form
    1,078.52/1,488.48 = 606.50/x
  3. Step 3: Cross multiply
    1,078.52x = 1,488.48 × 606.50
  4. Step 4: Simplify right side
    1,078.52x = 902,763.12
  5. Step 5: Solve for x
    x = 902,763.12/1,078.52
  6. Step 6: Final answer
    x = 837.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.