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Finding the Fourth Proportional to 1,755.12, 2,632.80 and 585.08

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Solution

The fourth proportional to 1,755.12, 2,632.80 and 585.08 is: 877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.12 : 2,632.80 = 585.08 : x
  2. Step 2: Convert to fraction form
    1,755.12/2,632.80 = 585.08/x
  3. Step 3: Cross multiply
    1,755.12x = 2,632.80 × 585.08
  4. Step 4: Simplify right side
    1,755.12x = 1,540,398.62
  5. Step 5: Solve for x
    x = 1,540,398.62/1,755.12
  6. Step 6: Final answer
    x = 877.66

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1.5x scale

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.