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Finding the Fourth Proportional to 670.62, 1,002.52 and 601.05

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Solution

The fourth proportional to 670.62, 1,002.52 and 601.05 is: 898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.62 : 1,002.52 = 601.05 : x
  2. Step 2: Convert to fraction form
    670.62/1,002.52 = 601.05/x
  3. Step 3: Cross multiply
    670.62x = 1,002.52 × 601.05
  4. Step 4: Simplify right side
    670.62x = 602,563.14
  5. Step 5: Solve for x
    x = 602,563.14/670.62
  6. Step 6: Final answer
    x = 898.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.