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Finding the Fourth Proportional to 1,210.51, 1,670.66 and 686.71

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Solution

The fourth proportional to 1,210.51, 1,670.66 and 686.71 is: 947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.51 : 1,670.66 = 686.71 : x
  2. Step 2: Convert to fraction form
    1,210.51/1,670.66 = 686.71/x
  3. Step 3: Cross multiply
    1,210.51x = 1,670.66 × 686.71
  4. Step 4: Simplify right side
    1,210.51x = 1,147,258.93
  5. Step 5: Solve for x
    x = 1,147,258.93/1,210.51
  6. Step 6: Final answer
    x = 947.75

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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.