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Finding the Fourth Proportional to 645.84, 970.38 and 581.40

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Solution

The fourth proportional to 645.84, 970.38 and 581.40 is: 873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 970.38 = 581.40 : x
  2. Step 2: Convert to fraction form
    645.84/970.38 = 581.40/x
  3. Step 3: Cross multiply
    645.84x = 970.38 × 581.40
  4. Step 4: Simplify right side
    645.84x = 564,178.93
  5. Step 5: Solve for x
    x = 564,178.93/645.84
  6. Step 6: Final answer
    x = 873.56

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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.