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Finding the Fourth Proportional to 885.19, 1,220.41 and 590.23

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Solution

The fourth proportional to 885.19, 1,220.41 and 590.23 is: 813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.19 : 1,220.41 = 590.23 : x
  2. Step 2: Convert to fraction form
    885.19/1,220.41 = 590.23/x
  3. Step 3: Cross multiply
    885.19x = 1,220.41 × 590.23
  4. Step 4: Simplify right side
    885.19x = 720,322.59
  5. Step 5: Solve for x
    x = 720,322.59/885.19
  6. Step 6: Final answer
    x = 813.75

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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.