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Finding the Fourth Proportional to 921.75, 1,271.61 and 590.05

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Solution

The fourth proportional to 921.75, 1,271.61 and 590.05 is: 814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.75 : 1,271.61 = 590.05 : x
  2. Step 2: Convert to fraction form
    921.75/1,271.61 = 590.05/x
  3. Step 3: Cross multiply
    921.75x = 1,271.61 × 590.05
  4. Step 4: Simplify right side
    921.75x = 750,313.48
  5. Step 5: Solve for x
    x = 750,313.48/921.75
  6. Step 6: Final answer
    x = 814.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.