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Finding the Fourth Proportional to 946.48, 1,307.02 and 726.86

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Solution

The fourth proportional to 946.48, 1,307.02 and 726.86 is: 1,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.48 : 1,307.02 = 726.86 : x
  2. Step 2: Convert to fraction form
    946.48/1,307.02 = 726.86/x
  3. Step 3: Cross multiply
    946.48x = 1,307.02 × 726.86
  4. Step 4: Simplify right side
    946.48x = 950,020.56
  5. Step 5: Solve for x
    x = 950,020.56/946.48
  6. Step 6: Final answer
    x = 1,003.74

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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.