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Finding the Fourth Proportional to 930.61, 1,394.55 and 410.14

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Solution

The fourth proportional to 930.61, 1,394.55 and 410.14 is: 614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.61 : 1,394.55 = 410.14 : x
  2. Step 2: Convert to fraction form
    930.61/1,394.55 = 410.14/x
  3. Step 3: Cross multiply
    930.61x = 1,394.55 × 410.14
  4. Step 4: Simplify right side
    930.61x = 571,954.64
  5. Step 5: Solve for x
    x = 571,954.64/930.61
  6. Step 6: Final answer
    x = 614.60

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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.