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Finding the Fourth Proportional to 1,576.74, 2,363.36 and 652.05

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Solution

The fourth proportional to 1,576.74, 2,363.36 and 652.05 is: 977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.74 : 2,363.36 = 652.05 : x
  2. Step 2: Convert to fraction form
    1,576.74/2,363.36 = 652.05/x
  3. Step 3: Cross multiply
    1,576.74x = 2,363.36 × 652.05
  4. Step 4: Simplify right side
    1,576.74x = 1,541,028.89
  5. Step 5: Solve for x
    x = 1,541,028.89/1,576.74
  6. Step 6: Final answer
    x = 977.35

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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.