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Finding the Fourth Proportional to 1,047.75, 1,445.85 and 575.64

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Solution

The fourth proportional to 1,047.75, 1,445.85 and 575.64 is: 794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.75 : 1,445.85 = 575.64 : x
  2. Step 2: Convert to fraction form
    1,047.75/1,445.85 = 575.64/x
  3. Step 3: Cross multiply
    1,047.75x = 1,445.85 × 575.64
  4. Step 4: Simplify right side
    1,047.75x = 832,289.09
  5. Step 5: Solve for x
    x = 832,289.09/1,047.75
  6. Step 6: Final answer
    x = 794.36

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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.