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Finding the Fourth Proportional to 885.48, 1,221.57 and 590.46

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Solution

The fourth proportional to 885.48, 1,221.57 and 590.46 is: 814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.48 : 1,221.57 = 590.46 : x
  2. Step 2: Convert to fraction form
    885.48/1,221.57 = 590.46/x
  3. Step 3: Cross multiply
    885.48x = 1,221.57 × 590.46
  4. Step 4: Simplify right side
    885.48x = 721,288.22
  5. Step 5: Solve for x
    x = 721,288.22/885.48
  6. Step 6: Final answer
    x = 814.57

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1.5x scale

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.