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Finding the Fourth Proportional to 1,017.34, 1,404.78 and 686.86

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Solution

The fourth proportional to 1,017.34, 1,404.78 and 686.86 is: 948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.34 : 1,404.78 = 686.86 : x
  2. Step 2: Convert to fraction form
    1,017.34/1,404.78 = 686.86/x
  3. Step 3: Cross multiply
    1,017.34x = 1,404.78 × 686.86
  4. Step 4: Simplify right side
    1,017.34x = 964,887.19
  5. Step 5: Solve for x
    x = 964,887.19/1,017.34
  6. Step 6: Final answer
    x = 948.44

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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.