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Finding the Fourth Proportional to 1,483.32, 2,224.80 and 496.14

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Solution

The fourth proportional to 1,483.32, 2,224.80 and 496.14 is: 744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.32 : 2,224.80 = 496.14 : x
  2. Step 2: Convert to fraction form
    1,483.32/2,224.80 = 496.14/x
  3. Step 3: Cross multiply
    1,483.32x = 2,224.80 × 496.14
  4. Step 4: Simplify right side
    1,483.32x = 1,103,812.27
  5. Step 5: Solve for x
    x = 1,103,812.27/1,483.32
  6. Step 6: Final answer
    x = 744.15

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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.