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Finding the Fourth Proportional to 1,038.92, 1,563.64 and 780.32

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Solution

The fourth proportional to 1,038.92, 1,563.64 and 780.32 is: 1,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.92 : 1,563.64 = 780.32 : x
  2. Step 2: Convert to fraction form
    1,038.92/1,563.64 = 780.32/x
  3. Step 3: Cross multiply
    1,038.92x = 1,563.64 × 780.32
  4. Step 4: Simplify right side
    1,038.92x = 1,220,139.56
  5. Step 5: Solve for x
    x = 1,220,139.56/1,038.92
  6. Step 6: Final answer
    x = 1,174.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.