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Finding the Fourth Proportional to 962.76, 1,436.73 and 807.24

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Solution

The fourth proportional to 962.76, 1,436.73 and 807.24 is: 1,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.76 : 1,436.73 = 807.24 : x
  2. Step 2: Convert to fraction form
    962.76/1,436.73 = 807.24/x
  3. Step 3: Cross multiply
    962.76x = 1,436.73 × 807.24
  4. Step 4: Simplify right side
    962.76x = 1,159,785.93
  5. Step 5: Solve for x
    x = 1,159,785.93/962.76
  6. Step 6: Final answer
    x = 1,204.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.