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Finding the Fourth Proportional to 1,078.29, 1,488.17 and 606.19

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Solution

The fourth proportional to 1,078.29, 1,488.17 and 606.19 is: 836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.29 : 1,488.17 = 606.19 : x
  2. Step 2: Convert to fraction form
    1,078.29/1,488.17 = 606.19/x
  3. Step 3: Cross multiply
    1,078.29x = 1,488.17 × 606.19
  4. Step 4: Simplify right side
    1,078.29x = 902,113.77
  5. Step 5: Solve for x
    x = 902,113.77/1,078.29
  6. Step 6: Final answer
    x = 836.62

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Why These Related Problems?

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