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Finding the Fourth Proportional to 1,022.87, 1,534.99 and 373.67

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Solution

The fourth proportional to 1,022.87, 1,534.99 and 373.67 is: 560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.87 : 1,534.99 = 373.67 : x
  2. Step 2: Convert to fraction form
    1,022.87/1,534.99 = 373.67/x
  3. Step 3: Cross multiply
    1,022.87x = 1,534.99 × 373.67
  4. Step 4: Simplify right side
    1,022.87x = 573,571.10
  5. Step 5: Solve for x
    x = 573,571.10/1,022.87
  6. Step 6: Final answer
    x = 560.75

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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.