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Finding the Fourth Proportional to 923.71, 1,275.06 and 630.49

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Solution

The fourth proportional to 923.71, 1,275.06 and 630.49 is: 870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.71 : 1,275.06 = 630.49 : x
  2. Step 2: Convert to fraction form
    923.71/1,275.06 = 630.49/x
  3. Step 3: Cross multiply
    923.71x = 1,275.06 × 630.49
  4. Step 4: Simplify right side
    923.71x = 803,912.58
  5. Step 5: Solve for x
    x = 803,912.58/923.71
  6. Step 6: Final answer
    x = 870.31

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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.