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Finding the Fourth Proportional to 1,244.64, 1,869.12 and 783.84

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Solution

The fourth proportional to 1,244.64, 1,869.12 and 783.84 is: 1,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.64 : 1,869.12 = 783.84 : x
  2. Step 2: Convert to fraction form
    1,244.64/1,869.12 = 783.84/x
  3. Step 3: Cross multiply
    1,244.64x = 1,869.12 × 783.84
  4. Step 4: Simplify right side
    1,244.64x = 1,465,091.02
  5. Step 5: Solve for x
    x = 1,465,091.02/1,244.64
  6. Step 6: Final answer
    x = 1,177.12

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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.