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Finding the Fourth Proportional to 810.37, 1,214.16 and 638.14

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Solution

The fourth proportional to 810.37, 1,214.16 and 638.14 is: 956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.37 : 1,214.16 = 638.14 : x
  2. Step 2: Convert to fraction form
    810.37/1,214.16 = 638.14/x
  3. Step 3: Cross multiply
    810.37x = 1,214.16 × 638.14
  4. Step 4: Simplify right side
    810.37x = 774,804.06
  5. Step 5: Solve for x
    x = 774,804.06/810.37
  6. Step 6: Final answer
    x = 956.11

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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.