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Finding the Fourth Proportional to 1,210.27, 1,670.12 and 686.29

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Solution

The fourth proportional to 1,210.27, 1,670.12 and 686.29 is: 947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.27 : 1,670.12 = 686.29 : x
  2. Step 2: Convert to fraction form
    1,210.27/1,670.12 = 686.29/x
  3. Step 3: Cross multiply
    1,210.27x = 1,670.12 × 686.29
  4. Step 4: Simplify right side
    1,210.27x = 1,146,174.87
  5. Step 5: Solve for x
    x = 1,146,174.87/1,210.27
  6. Step 6: Final answer
    x = 947.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.