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Finding the Fourth Proportional to 1,041.28, 1,436.84 and 575.60

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Solution

The fourth proportional to 1,041.28, 1,436.84 and 575.60 is: 794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.28 : 1,436.84 = 575.60 : x
  2. Step 2: Convert to fraction form
    1,041.28/1,436.84 = 575.60/x
  3. Step 3: Cross multiply
    1,041.28x = 1,436.84 × 575.60
  4. Step 4: Simplify right side
    1,041.28x = 827,045.10
  5. Step 5: Solve for x
    x = 827,045.10/1,041.28
  6. Step 6: Final answer
    x = 794.26

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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.