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Finding the Fourth Proportional to 1,017.85, 1,404.11 and 663.75

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Solution

The fourth proportional to 1,017.85, 1,404.11 and 663.75 is: 915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.85 : 1,404.11 = 663.75 : x
  2. Step 2: Convert to fraction form
    1,017.85/1,404.11 = 663.75/x
  3. Step 3: Cross multiply
    1,017.85x = 1,404.11 × 663.75
  4. Step 4: Simplify right side
    1,017.85x = 931,970.99
  5. Step 5: Solve for x
    x = 931,970.99/1,017.85
  6. Step 6: Final answer
    x = 915.63

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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.