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Finding the Fourth Proportional to 1,364.20, 1,883.24 and 916.81

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Solution

The fourth proportional to 1,364.20, 1,883.24 and 916.81 is: 1,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.20 : 1,883.24 = 916.81 : x
  2. Step 2: Convert to fraction form
    1,364.20/1,883.24 = 916.81/x
  3. Step 3: Cross multiply
    1,364.20x = 1,883.24 × 916.81
  4. Step 4: Simplify right side
    1,364.20x = 1,726,573.26
  5. Step 5: Solve for x
    x = 1,726,573.26/1,364.20
  6. Step 6: Final answer
    x = 1,265.63

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1.5x scale

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.