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Finding the Fourth Proportional to 810.06, 1,214.85 and 463.32

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Solution

The fourth proportional to 810.06, 1,214.85 and 463.32 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.06 : 1,214.85 = 463.32 : x
  2. Step 2: Convert to fraction form
    810.06/1,214.85 = 463.32/x
  3. Step 3: Cross multiply
    810.06x = 1,214.85 × 463.32
  4. Step 4: Simplify right side
    810.06x = 562,864.30
  5. Step 5: Solve for x
    x = 562,864.30/810.06
  6. Step 6: Final answer
    x = 694.84

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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.