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Finding the Fourth Proportional to 1,345.38, 2,017.74 and 686.82

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Solution

The fourth proportional to 1,345.38, 2,017.74 and 686.82 is: 1,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.38 : 2,017.74 = 686.82 : x
  2. Step 2: Convert to fraction form
    1,345.38/2,017.74 = 686.82/x
  3. Step 3: Cross multiply
    1,345.38x = 2,017.74 × 686.82
  4. Step 4: Simplify right side
    1,345.38x = 1,385,824.19
  5. Step 5: Solve for x
    x = 1,385,824.19/1,345.38
  6. Step 6: Final answer
    x = 1,030.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.