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Finding the Fourth Proportional to 700.08, 1,048.83 and 590.43

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Solution

The fourth proportional to 700.08, 1,048.83 and 590.43 is: 884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.08 : 1,048.83 = 590.43 : x
  2. Step 2: Convert to fraction form
    700.08/1,048.83 = 590.43/x
  3. Step 3: Cross multiply
    700.08x = 1,048.83 × 590.43
  4. Step 4: Simplify right side
    700.08x = 619,260.70
  5. Step 5: Solve for x
    x = 619,260.70/700.08
  6. Step 6: Final answer
    x = 884.56

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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.