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Finding the Fourth Proportional to 1,411.74, 2,116.08 and 589.50

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Solution

The fourth proportional to 1,411.74, 2,116.08 and 589.50 is: 883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.74 : 2,116.08 = 589.50 : x
  2. Step 2: Convert to fraction form
    1,411.74/2,116.08 = 589.50/x
  3. Step 3: Cross multiply
    1,411.74x = 2,116.08 × 589.50
  4. Step 4: Simplify right side
    1,411.74x = 1,247,429.16
  5. Step 5: Solve for x
    x = 1,247,429.16/1,411.74
  6. Step 6: Final answer
    x = 883.61

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Why These Related Problems?

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