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Finding the Fourth Proportional to 802, 1,103.40 and 714.48

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Solution

The fourth proportional to 802, 1,103.40 and 714.48 is: 982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    802 : 1,103.40 = 714.48 : x
  2. Step 2: Convert to fraction form
    802/1,103.40 = 714.48/x
  3. Step 3: Cross multiply
    802x = 1,103.40 × 714.48
  4. Step 4: Simplify right side
    802x = 788,357.23
  5. Step 5: Solve for x
    x = 788,357.23/802
  6. Step 6: Final answer
    x = 982.99

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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.