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Finding the Fourth Proportional to 1,409.74, 2,114.61 and 576.63

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Solution

The fourth proportional to 1,409.74, 2,114.61 and 576.63 is: 864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.74 : 2,114.61 = 576.63 : x
  2. Step 2: Convert to fraction form
    1,409.74/2,114.61 = 576.63/x
  3. Step 3: Cross multiply
    1,409.74x = 2,114.61 × 576.63
  4. Step 4: Simplify right side
    1,409.74x = 1,219,347.56
  5. Step 5: Solve for x
    x = 1,219,347.56/1,409.74
  6. Step 6: Final answer
    x = 864.95

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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.