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Finding the Fourth Proportional to 944.28, 1,417.76 and 534.22

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Solution

The fourth proportional to 944.28, 1,417.76 and 534.22 is: 802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.28 : 1,417.76 = 534.22 : x
  2. Step 2: Convert to fraction form
    944.28/1,417.76 = 534.22/x
  3. Step 3: Cross multiply
    944.28x = 1,417.76 × 534.22
  4. Step 4: Simplify right side
    944.28x = 757,395.75
  5. Step 5: Solve for x
    x = 757,395.75/944.28
  6. Step 6: Final answer
    x = 802.09

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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.