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Finding the Fourth Proportional to 1,253.51, 1,729.85 and 686.35

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Solution

The fourth proportional to 1,253.51, 1,729.85 and 686.35 is: 947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.51 : 1,729.85 = 686.35 : x
  2. Step 2: Convert to fraction form
    1,253.51/1,729.85 = 686.35/x
  3. Step 3: Cross multiply
    1,253.51x = 1,729.85 × 686.35
  4. Step 4: Simplify right side
    1,253.51x = 1,187,281.28
  5. Step 5: Solve for x
    x = 1,187,281.28/1,253.51
  6. Step 6: Final answer
    x = 947.17

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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.