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Finding the Fourth Proportional to 1,210.68, 1,670.73 and 686.71

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Solution

The fourth proportional to 1,210.68, 1,670.73 and 686.71 is: 947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.68 : 1,670.73 = 686.71 : x
  2. Step 2: Convert to fraction form
    1,210.68/1,670.73 = 686.71/x
  3. Step 3: Cross multiply
    1,210.68x = 1,670.73 × 686.71
  4. Step 4: Simplify right side
    1,210.68x = 1,147,305.26
  5. Step 5: Solve for x
    x = 1,147,305.26/1,210.68
  6. Step 6: Final answer
    x = 947.66

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Why These Related Problems?

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