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Finding the Fourth Proportional to 1,576.35, 2,364.43 and 698.59

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Solution

The fourth proportional to 1,576.35, 2,364.43 and 698.59 is: 1,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.35 : 2,364.43 = 698.59 : x
  2. Step 2: Convert to fraction form
    1,576.35/2,364.43 = 698.59/x
  3. Step 3: Cross multiply
    1,576.35x = 2,364.43 × 698.59
  4. Step 4: Simplify right side
    1,576.35x = 1,651,776.32
  5. Step 5: Solve for x
    x = 1,651,776.32/1,576.35
  6. Step 6: Final answer
    x = 1,047.85

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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.