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Finding the Fourth Proportional to 913.90, 1,282.70 and 913.90

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Solution

The fourth proportional to 913.90, 1,282.70 and 913.90 is: 1,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.90 : 1,282.70 = 913.90 : x
  2. Step 2: Convert to fraction form
    913.90/1,282.70 = 913.90/x
  3. Step 3: Cross multiply
    913.90x = 1,282.70 × 913.90
  4. Step 4: Simplify right side
    913.90x = 1,172,259.53
  5. Step 5: Solve for x
    x = 1,172,259.53/913.90
  6. Step 6: Final answer
    x = 1,282.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.