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Finding the Fourth Proportional to 810.60, 1,215.90 and 378.60

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Solution

The fourth proportional to 810.60, 1,215.90 and 378.60 is: 567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.60 : 1,215.90 = 378.60 : x
  2. Step 2: Convert to fraction form
    810.60/1,215.90 = 378.60/x
  3. Step 3: Cross multiply
    810.60x = 1,215.90 × 378.60
  4. Step 4: Simplify right side
    810.60x = 460,339.74
  5. Step 5: Solve for x
    x = 460,339.74/810.60
  6. Step 6: Final answer
    x = 567.90

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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.