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Finding the Fourth Proportional to 1,017.69, 1,403.76 and 702.42

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Solution

The fourth proportional to 1,017.69, 1,403.76 and 702.42 is: 968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.69 : 1,403.76 = 702.42 : x
  2. Step 2: Convert to fraction form
    1,017.69/1,403.76 = 702.42/x
  3. Step 3: Cross multiply
    1,017.69x = 1,403.76 × 702.42
  4. Step 4: Simplify right side
    1,017.69x = 986,029.10
  5. Step 5: Solve for x
    x = 986,029.10/1,017.69
  6. Step 6: Final answer
    x = 968.89

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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.