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Finding the Fourth Proportional to 1,576.64, 2,363.58 and 602.12

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Solution

The fourth proportional to 1,576.64, 2,363.58 and 602.12 is: 902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.64 : 2,363.58 = 602.12 : x
  2. Step 2: Convert to fraction form
    1,576.64/2,363.58 = 602.12/x
  3. Step 3: Cross multiply
    1,576.64x = 2,363.58 × 602.12
  4. Step 4: Simplify right side
    1,576.64x = 1,423,158.79
  5. Step 5: Solve for x
    x = 1,423,158.79/1,576.64
  6. Step 6: Final answer
    x = 902.65

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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.