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Finding the Fourth Proportional to 1,094.64, 1,642.08 and 354.33

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Solution

The fourth proportional to 1,094.64, 1,642.08 and 354.33 is: 531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.64 : 1,642.08 = 354.33 : x
  2. Step 2: Convert to fraction form
    1,094.64/1,642.08 = 354.33/x
  3. Step 3: Cross multiply
    1,094.64x = 1,642.08 × 354.33
  4. Step 4: Simplify right side
    1,094.64x = 581,838.21
  5. Step 5: Solve for x
    x = 581,838.21/1,094.64
  6. Step 6: Final answer
    x = 531.53

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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.