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Finding the Fourth Proportional to 962.78, 1,442.40 and 859.01

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Solution

The fourth proportional to 962.78, 1,442.40 and 859.01 is: 1,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.78 : 1,442.40 = 859.01 : x
  2. Step 2: Convert to fraction form
    962.78/1,442.40 = 859.01/x
  3. Step 3: Cross multiply
    962.78x = 1,442.40 × 859.01
  4. Step 4: Simplify right side
    962.78x = 1,239,036.02
  5. Step 5: Solve for x
    x = 1,239,036.02/962.78
  6. Step 6: Final answer
    x = 1,286.94

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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.