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Finding the Fourth Proportional to 1,047.46, 1,445.49 and 575.32

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Solution

The fourth proportional to 1,047.46, 1,445.49 and 575.32 is: 793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.46 : 1,445.49 = 575.32 : x
  2. Step 2: Convert to fraction form
    1,047.46/1,445.49 = 575.32/x
  3. Step 3: Cross multiply
    1,047.46x = 1,445.49 × 575.32
  4. Step 4: Simplify right side
    1,047.46x = 831,619.31
  5. Step 5: Solve for x
    x = 831,619.31/1,047.46
  6. Step 6: Final answer
    x = 793.94

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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.