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Finding the Fourth Proportional to 1,275.57, 1,763.55 and 885.51

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Solution

The fourth proportional to 1,275.57, 1,763.55 and 885.51 is: 1,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.57 : 1,763.55 = 885.51 : x
  2. Step 2: Convert to fraction form
    1,275.57/1,763.55 = 885.51/x
  3. Step 3: Cross multiply
    1,275.57x = 1,763.55 × 885.51
  4. Step 4: Simplify right side
    1,275.57x = 1,561,641.16
  5. Step 5: Solve for x
    x = 1,561,641.16/1,275.57
  6. Step 6: Final answer
    x = 1,224.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.