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Finding the Fourth Proportional to 3,088.59, 4,631.76 and 896.73

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Solution

The fourth proportional to 3,088.59, 4,631.76 and 896.73 is: 1,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.59 : 4,631.76 = 896.73 : x
  2. Step 2: Convert to fraction form
    3,088.59/4,631.76 = 896.73/x
  3. Step 3: Cross multiply
    3,088.59x = 4,631.76 × 896.73
  4. Step 4: Simplify right side
    3,088.59x = 4,153,438.14
  5. Step 5: Solve for x
    x = 4,153,438.14/3,088.59
  6. Step 6: Final answer
    x = 1,344.77

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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.