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Finding the Fourth Proportional to 1,368.23, 1,885.91 and 925.97

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Solution

The fourth proportional to 1,368.23, 1,885.91 and 925.97 is: 1,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.23 : 1,885.91 = 925.97 : x
  2. Step 2: Convert to fraction form
    1,368.23/1,885.91 = 925.97/x
  3. Step 3: Cross multiply
    1,368.23x = 1,885.91 × 925.97
  4. Step 4: Simplify right side
    1,368.23x = 1,746,282.02
  5. Step 5: Solve for x
    x = 1,746,282.02/1,368.23
  6. Step 6: Final answer
    x = 1,276.31

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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.