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Finding the Fourth Proportional to 948.40, 1,421.16 and 461.32

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Solution

The fourth proportional to 948.40, 1,421.16 and 461.32 is: 691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.40 : 1,421.16 = 461.32 : x
  2. Step 2: Convert to fraction form
    948.40/1,421.16 = 461.32/x
  3. Step 3: Cross multiply
    948.40x = 1,421.16 × 461.32
  4. Step 4: Simplify right side
    948.40x = 655,609.53
  5. Step 5: Solve for x
    x = 655,609.53/948.40
  6. Step 6: Final answer
    x = 691.28

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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.