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Finding the Fourth Proportional to 1,005.53, 1,387.87 and 784.40

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Solution

The fourth proportional to 1,005.53, 1,387.87 and 784.40 is: 1,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.53 : 1,387.87 = 784.40 : x
  2. Step 2: Convert to fraction form
    1,005.53/1,387.87 = 784.40/x
  3. Step 3: Cross multiply
    1,005.53x = 1,387.87 × 784.40
  4. Step 4: Simplify right side
    1,005.53x = 1,088,636.33
  5. Step 5: Solve for x
    x = 1,088,636.33/1,005.53
  6. Step 6: Final answer
    x = 1,082.65

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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.