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Finding the Fourth Proportional to 913.32, 1,371.24 and 777.24

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Solution

The fourth proportional to 913.32, 1,371.24 and 777.24 is: 1,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.32 : 1,371.24 = 777.24 : x
  2. Step 2: Convert to fraction form
    913.32/1,371.24 = 777.24/x
  3. Step 3: Cross multiply
    913.32x = 1,371.24 × 777.24
  4. Step 4: Simplify right side
    913.32x = 1,065,782.58
  5. Step 5: Solve for x
    x = 1,065,782.58/913.32
  6. Step 6: Final answer
    x = 1,166.93

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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.