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Finding the Fourth Proportional to 1,210.22, 1,670.13 and 686.27

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Solution

The fourth proportional to 1,210.22, 1,670.13 and 686.27 is: 947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.22 : 1,670.13 = 686.27 : x
  2. Step 2: Convert to fraction form
    1,210.22/1,670.13 = 686.27/x
  3. Step 3: Cross multiply
    1,210.22x = 1,670.13 × 686.27
  4. Step 4: Simplify right side
    1,210.22x = 1,146,160.12
  5. Step 5: Solve for x
    x = 1,146,160.12/1,210.22
  6. Step 6: Final answer
    x = 947.07

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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.