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Finding the Fourth Proportional to 623.26, 928.19 and 586

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Solution

The fourth proportional to 623.26, 928.19 and 586 is: 872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.26 : 928.19 = 586 : x
  2. Step 2: Convert to fraction form
    623.26/928.19 = 586/x
  3. Step 3: Cross multiply
    623.26x = 928.19 × 586
  4. Step 4: Simplify right side
    623.26x = 543,919.34
  5. Step 5: Solve for x
    x = 543,919.34/623.26
  6. Step 6: Final answer
    x = 872.70

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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.