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Finding the Fourth Proportional to 785.30, 1,177.94 and 456.74

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Solution

The fourth proportional to 785.30, 1,177.94 and 456.74 is: 685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.30 : 1,177.94 = 456.74 : x
  2. Step 2: Convert to fraction form
    785.30/1,177.94 = 456.74/x
  3. Step 3: Cross multiply
    785.30x = 1,177.94 × 456.74
  4. Step 4: Simplify right side
    785.30x = 538,012.32
  5. Step 5: Solve for x
    x = 538,012.32/785.30
  6. Step 6: Final answer
    x = 685.10

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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.