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Finding the Fourth Proportional to 948.11, 1,418.05 and 557.18

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Solution

The fourth proportional to 948.11, 1,418.05 and 557.18 is: 833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.11 : 1,418.05 = 557.18 : x
  2. Step 2: Convert to fraction form
    948.11/1,418.05 = 557.18/x
  3. Step 3: Cross multiply
    948.11x = 1,418.05 × 557.18
  4. Step 4: Simplify right side
    948.11x = 790,109.10
  5. Step 5: Solve for x
    x = 790,109.10/948.11
  6. Step 6: Final answer
    x = 833.35

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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.