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Finding the Fourth Proportional to 913.52, 1,364.49 and 783.89

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Solution

The fourth proportional to 913.52, 1,364.49 and 783.89 is: 1,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.52 : 1,364.49 = 783.89 : x
  2. Step 2: Convert to fraction form
    913.52/1,364.49 = 783.89/x
  3. Step 3: Cross multiply
    913.52x = 1,364.49 × 783.89
  4. Step 4: Simplify right side
    913.52x = 1,069,603.24
  5. Step 5: Solve for x
    x = 1,069,603.24/913.52
  6. Step 6: Final answer
    x = 1,170.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.