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Finding the Fourth Proportional to 1,406.89, 2,110.47 and 585.55

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Solution

The fourth proportional to 1,406.89, 2,110.47 and 585.55 is: 878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.89 : 2,110.47 = 585.55 : x
  2. Step 2: Convert to fraction form
    1,406.89/2,110.47 = 585.55/x
  3. Step 3: Cross multiply
    1,406.89x = 2,110.47 × 585.55
  4. Step 4: Simplify right side
    1,406.89x = 1,235,785.71
  5. Step 5: Solve for x
    x = 1,235,785.71/1,406.89
  6. Step 6: Final answer
    x = 878.38

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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.