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Finding the Fourth Proportional to 786.42, 1,177.40 and 653.58

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Solution

The fourth proportional to 786.42, 1,177.40 and 653.58 is: 978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.42 : 1,177.40 = 653.58 : x
  2. Step 2: Convert to fraction form
    786.42/1,177.40 = 653.58/x
  3. Step 3: Cross multiply
    786.42x = 1,177.40 × 653.58
  4. Step 4: Simplify right side
    786.42x = 769,526.73
  5. Step 5: Solve for x
    x = 769,526.73/786.42
  6. Step 6: Final answer
    x = 978.52

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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.