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Finding the Fourth Proportional to 772.36, 1,158.36 and 590.02

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Solution

The fourth proportional to 772.36, 1,158.36 and 590.02 is: 884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.36 : 1,158.36 = 590.02 : x
  2. Step 2: Convert to fraction form
    772.36/1,158.36 = 590.02/x
  3. Step 3: Cross multiply
    772.36x = 1,158.36 × 590.02
  4. Step 4: Simplify right side
    772.36x = 683,455.57
  5. Step 5: Solve for x
    x = 683,455.57/772.36
  6. Step 6: Final answer
    x = 884.89

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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.