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Finding the Fourth Proportional to 1,094.58, 1,641.64 and 314.37

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Solution

The fourth proportional to 1,094.58, 1,641.64 and 314.37 is: 471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.58 : 1,641.64 = 314.37 : x
  2. Step 2: Convert to fraction form
    1,094.58/1,641.64 = 314.37/x
  3. Step 3: Cross multiply
    1,094.58x = 1,641.64 × 314.37
  4. Step 4: Simplify right side
    1,094.58x = 516,082.37
  5. Step 5: Solve for x
    x = 516,082.37/1,094.58
  6. Step 6: Final answer
    x = 471.49

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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.