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Finding the Fourth Proportional to 581.45, 870.02 and 511.71

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Solution

The fourth proportional to 581.45, 870.02 and 511.71 is: 765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.45 : 870.02 = 511.71 : x
  2. Step 2: Convert to fraction form
    581.45/870.02 = 511.71/x
  3. Step 3: Cross multiply
    581.45x = 870.02 × 511.71
  4. Step 4: Simplify right side
    581.45x = 445,194.03
  5. Step 5: Solve for x
    x = 445,194.03/581.45
  6. Step 6: Final answer
    x = 765.67

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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.