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Finding the Fourth Proportional to 1,087.74, 1,631.21 and 357.12

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Solution

The fourth proportional to 1,087.74, 1,631.21 and 357.12 is: 535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.74 : 1,631.21 = 357.12 : x
  2. Step 2: Convert to fraction form
    1,087.74/1,631.21 = 357.12/x
  3. Step 3: Cross multiply
    1,087.74x = 1,631.21 × 357.12
  4. Step 4: Simplify right side
    1,087.74x = 582,535.93
  5. Step 5: Solve for x
    x = 582,535.93/1,087.74
  6. Step 6: Final answer
    x = 535.55

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Double scale
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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.