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Finding the Fourth Proportional to 1,094.55, 1,642.28 and 477.94

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Solution

The fourth proportional to 1,094.55, 1,642.28 and 477.94 is: 717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.55 : 1,642.28 = 477.94 : x
  2. Step 2: Convert to fraction form
    1,094.55/1,642.28 = 477.94/x
  3. Step 3: Cross multiply
    1,094.55x = 1,642.28 × 477.94
  4. Step 4: Simplify right side
    1,094.55x = 784,911.30
  5. Step 5: Solve for x
    x = 784,911.30/1,094.55
  6. Step 6: Final answer
    x = 717.11

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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.