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Finding the Fourth Proportional to 785.30, 1,178.55 and 510.71

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Solution

The fourth proportional to 785.30, 1,178.55 and 510.71 is: 766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.30 : 1,178.55 = 510.71 : x
  2. Step 2: Convert to fraction form
    785.30/1,178.55 = 510.71/x
  3. Step 3: Cross multiply
    785.30x = 1,178.55 × 510.71
  4. Step 4: Simplify right side
    785.30x = 601,891.38
  5. Step 5: Solve for x
    x = 601,891.38/785.30
  6. Step 6: Final answer
    x = 766.45

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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.