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Finding the Fourth Proportional to 944, 1,415.28 and 510.56

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Solution

The fourth proportional to 944, 1,415.28 and 510.56 is: 765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    944 : 1,415.28 = 510.56 : x
  2. Step 2: Convert to fraction form
    944/1,415.28 = 510.56/x
  3. Step 3: Cross multiply
    944x = 1,415.28 × 510.56
  4. Step 4: Simplify right side
    944x = 722,585.36
  5. Step 5: Solve for x
    x = 722,585.36/944
  6. Step 6: Final answer
    x = 765.45

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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.