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Finding the Fourth Proportional to 944.06, 1,302.56 and 570.98

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Solution

The fourth proportional to 944.06, 1,302.56 and 570.98 is: 787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.06 : 1,302.56 = 570.98 : x
  2. Step 2: Convert to fraction form
    944.06/1,302.56 = 570.98/x
  3. Step 3: Cross multiply
    944.06x = 1,302.56 × 570.98
  4. Step 4: Simplify right side
    944.06x = 743,735.71
  5. Step 5: Solve for x
    x = 743,735.71/944.06
  6. Step 6: Final answer
    x = 787.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.