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Finding the Fourth Proportional to 1,597.57, 2,204.76 and 898.99

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Solution

The fourth proportional to 1,597.57, 2,204.76 and 898.99 is: 1,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.57 : 2,204.76 = 898.99 : x
  2. Step 2: Convert to fraction form
    1,597.57/2,204.76 = 898.99/x
  3. Step 3: Cross multiply
    1,597.57x = 2,204.76 × 898.99
  4. Step 4: Simplify right side
    1,597.57x = 1,982,057.19
  5. Step 5: Solve for x
    x = 1,982,057.19/1,597.57
  6. Step 6: Final answer
    x = 1,240.67

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Half scale
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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.