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Finding the Fourth Proportional to 914.42, 1,370.55 and 654.14

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Solution

The fourth proportional to 914.42, 1,370.55 and 654.14 is: 980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.42 : 1,370.55 = 654.14 : x
  2. Step 2: Convert to fraction form
    914.42/1,370.55 = 654.14/x
  3. Step 3: Cross multiply
    914.42x = 1,370.55 × 654.14
  4. Step 4: Simplify right side
    914.42x = 896,531.58
  5. Step 5: Solve for x
    x = 896,531.58/914.42
  6. Step 6: Final answer
    x = 980.44

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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.