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Finding the Fourth Proportional to 914.71, 1,371.90 and 584.67

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Solution

The fourth proportional to 914.71, 1,371.90 and 584.67 is: 876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.71 : 1,371.90 = 584.67 : x
  2. Step 2: Convert to fraction form
    914.71/1,371.90 = 584.67/x
  3. Step 3: Cross multiply
    914.71x = 1,371.90 × 584.67
  4. Step 4: Simplify right side
    914.71x = 802,108.77
  5. Step 5: Solve for x
    x = 802,108.77/914.71
  6. Step 6: Final answer
    x = 876.90

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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.