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Finding the Fourth Proportional to 810.88, 1,216.47 and 464.62

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Solution

The fourth proportional to 810.88, 1,216.47 and 464.62 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.88 : 1,216.47 = 464.62 : x
  2. Step 2: Convert to fraction form
    810.88/1,216.47 = 464.62/x
  3. Step 3: Cross multiply
    810.88x = 1,216.47 × 464.62
  4. Step 4: Simplify right side
    810.88x = 565,196.29
  5. Step 5: Solve for x
    x = 565,196.29/810.88
  6. Step 6: Final answer
    x = 697.02

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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.