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Finding the Fourth Proportional to 1,094.52, 1,641.57 and 314.34

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Solution

The fourth proportional to 1,094.52, 1,641.57 and 314.34 is: 471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.52 : 1,641.57 = 314.34 : x
  2. Step 2: Convert to fraction form
    1,094.52/1,641.57 = 314.34/x
  3. Step 3: Cross multiply
    1,094.52x = 1,641.57 × 314.34
  4. Step 4: Simplify right side
    1,094.52x = 516,011.11
  5. Step 5: Solve for x
    x = 516,011.11/1,094.52
  6. Step 6: Final answer
    x = 471.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.