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Finding the Fourth Proportional to 1,210.23, 1,670.20 and 686.36

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Solution

The fourth proportional to 1,210.23, 1,670.20 and 686.36 is: 947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.23 : 1,670.20 = 686.36 : x
  2. Step 2: Convert to fraction form
    1,210.23/1,670.20 = 686.36/x
  3. Step 3: Cross multiply
    1,210.23x = 1,670.20 × 686.36
  4. Step 4: Simplify right side
    1,210.23x = 1,146,360.93
  5. Step 5: Solve for x
    x = 1,146,360.93/1,210.23
  6. Step 6: Final answer
    x = 947.23

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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.