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Finding the Fourth Proportional to 962.01, 1,439.64 and 786.51

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Solution

The fourth proportional to 962.01, 1,439.64 and 786.51 is: 1,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.01 : 1,439.64 = 786.51 : x
  2. Step 2: Convert to fraction form
    962.01/1,439.64 = 786.51/x
  3. Step 3: Cross multiply
    962.01x = 1,439.64 × 786.51
  4. Step 4: Simplify right side
    962.01x = 1,132,291.26
  5. Step 5: Solve for x
    x = 1,132,291.26/962.01
  6. Step 6: Final answer
    x = 1,177.01

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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.