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Finding the Fourth Proportional to 948.10, 1,417.14 and 823.72

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Solution

The fourth proportional to 948.10, 1,417.14 and 823.72 is: 1,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.10 : 1,417.14 = 823.72 : x
  2. Step 2: Convert to fraction form
    948.10/1,417.14 = 823.72/x
  3. Step 3: Cross multiply
    948.10x = 1,417.14 × 823.72
  4. Step 4: Simplify right side
    948.10x = 1,167,326.56
  5. Step 5: Solve for x
    x = 1,167,326.56/948.10
  6. Step 6: Final answer
    x = 1,231.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.