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Finding the Fourth Proportional to 1,788.28, 2,681.57 and 555.71

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Solution

The fourth proportional to 1,788.28, 2,681.57 and 555.71 is: 833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.28 : 2,681.57 = 555.71 : x
  2. Step 2: Convert to fraction form
    1,788.28/2,681.57 = 555.71/x
  3. Step 3: Cross multiply
    1,788.28x = 2,681.57 × 555.71
  4. Step 4: Simplify right side
    1,788.28x = 1,490,159.08
  5. Step 5: Solve for x
    x = 1,490,159.08/1,788.28
  6. Step 6: Final answer
    x = 833.29

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