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Finding the Fourth Proportional to 772.08, 1,158.12 and 590.50

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Solution

The fourth proportional to 772.08, 1,158.12 and 590.50 is: 885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.08 : 1,158.12 = 590.50 : x
  2. Step 2: Convert to fraction form
    772.08/1,158.12 = 590.50/x
  3. Step 3: Cross multiply
    772.08x = 1,158.12 × 590.50
  4. Step 4: Simplify right side
    772.08x = 683,869.86
  5. Step 5: Solve for x
    x = 683,869.86/772.08
  6. Step 6: Final answer
    x = 885.75

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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.