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Finding the Fourth Proportional to 1,169.01, 1,746.72 and 885.71

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Solution

The fourth proportional to 1,169.01, 1,746.72 and 885.71 is: 1,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.01 : 1,746.72 = 885.71 : x
  2. Step 2: Convert to fraction form
    1,169.01/1,746.72 = 885.71/x
  3. Step 3: Cross multiply
    1,169.01x = 1,746.72 × 885.71
  4. Step 4: Simplify right side
    1,169.01x = 1,547,087.37
  5. Step 5: Solve for x
    x = 1,547,087.37/1,169.01
  6. Step 6: Final answer
    x = 1,323.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.