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Finding the Fourth Proportional to 785.60, 1,178.15 and 602.64

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Solution

The fourth proportional to 785.60, 1,178.15 and 602.64 is: 903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.60 : 1,178.15 = 602.64 : x
  2. Step 2: Convert to fraction form
    785.60/1,178.15 = 602.64/x
  3. Step 3: Cross multiply
    785.60x = 1,178.15 × 602.64
  4. Step 4: Simplify right side
    785.60x = 709,997.30
  5. Step 5: Solve for x
    x = 709,997.30/785.60
  6. Step 6: Final answer
    x = 903.77

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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.