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Finding the Fourth Proportional to 905.76, 1,249.51 and 590.88

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Solution

The fourth proportional to 905.76, 1,249.51 and 590.88 is: 815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.76 : 1,249.51 = 590.88 : x
  2. Step 2: Convert to fraction form
    905.76/1,249.51 = 590.88/x
  3. Step 3: Cross multiply
    905.76x = 1,249.51 × 590.88
  4. Step 4: Simplify right side
    905.76x = 738,307.51
  5. Step 5: Solve for x
    x = 738,307.51/905.76
  6. Step 6: Final answer
    x = 815.12

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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.