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Finding the Fourth Proportional to 785.40, 1,178.10 and 526.20

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Solution

The fourth proportional to 785.40, 1,178.10 and 526.20 is: 789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.40 : 1,178.10 = 526.20 : x
  2. Step 2: Convert to fraction form
    785.40/1,178.10 = 526.20/x
  3. Step 3: Cross multiply
    785.40x = 1,178.10 × 526.20
  4. Step 4: Simplify right side
    785.40x = 619,916.22
  5. Step 5: Solve for x
    x = 619,916.22/785.40
  6. Step 6: Final answer
    x = 789.30

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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.