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Finding the Fourth Proportional to 1,404.56, 1,938.66 and 962.30

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Solution

The fourth proportional to 1,404.56, 1,938.66 and 962.30 is: 1,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.56 : 1,938.66 = 962.30 : x
  2. Step 2: Convert to fraction form
    1,404.56/1,938.66 = 962.30/x
  3. Step 3: Cross multiply
    1,404.56x = 1,938.66 × 962.30
  4. Step 4: Simplify right side
    1,404.56x = 1,865,572.52
  5. Step 5: Solve for x
    x = 1,865,572.52/1,404.56
  6. Step 6: Final answer
    x = 1,328.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.