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Finding the Fourth Proportional to 653.69, 984.10 and 596.28

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Solution

The fourth proportional to 653.69, 984.10 and 596.28 is: 897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.69 : 984.10 = 596.28 : x
  2. Step 2: Convert to fraction form
    653.69/984.10 = 596.28/x
  3. Step 3: Cross multiply
    653.69x = 984.10 × 596.28
  4. Step 4: Simplify right side
    653.69x = 586,795.20
  5. Step 5: Solve for x
    x = 586,795.20/653.69
  6. Step 6: Final answer
    x = 897.67

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.