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Finding the Fourth Proportional to 3,088.39, 4,632.81 and 896.98

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Solution

The fourth proportional to 3,088.39, 4,632.81 and 896.98 is: 1,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.39 : 4,632.81 = 896.98 : x
  2. Step 2: Convert to fraction form
    3,088.39/4,632.81 = 896.98/x
  3. Step 3: Cross multiply
    3,088.39x = 4,632.81 × 896.98
  4. Step 4: Simplify right side
    3,088.39x = 4,155,537.91
  5. Step 5: Solve for x
    x = 4,155,537.91/3,088.39
  6. Step 6: Final answer
    x = 1,345.54

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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.