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Finding the Fourth Proportional to 1,411.09, 2,116.80 and 589.93

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Solution

The fourth proportional to 1,411.09, 2,116.80 and 589.93 is: 884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.09 : 2,116.80 = 589.93 : x
  2. Step 2: Convert to fraction form
    1,411.09/2,116.80 = 589.93/x
  3. Step 3: Cross multiply
    1,411.09x = 2,116.80 × 589.93
  4. Step 4: Simplify right side
    1,411.09x = 1,248,763.82
  5. Step 5: Solve for x
    x = 1,248,763.82/1,411.09
  6. Step 6: Final answer
    x = 884.96

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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.