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Finding the Fourth Proportional to 913.95, 1,369.64 and 707.57

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Solution

The fourth proportional to 913.95, 1,369.64 and 707.57 is: 1,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.95 : 1,369.64 = 707.57 : x
  2. Step 2: Convert to fraction form
    913.95/1,369.64 = 707.57/x
  3. Step 3: Cross multiply
    913.95x = 1,369.64 × 707.57
  4. Step 4: Simplify right side
    913.95x = 969,112.64
  5. Step 5: Solve for x
    x = 969,112.64/913.95
  6. Step 6: Final answer
    x = 1,060.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.