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Finding the Fourth Proportional to 1,482.30, 2,223.18 and 752.22

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Solution

The fourth proportional to 1,482.30, 2,223.18 and 752.22 is: 1,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.30 : 2,223.18 = 752.22 : x
  2. Step 2: Convert to fraction form
    1,482.30/2,223.18 = 752.22/x
  3. Step 3: Cross multiply
    1,482.30x = 2,223.18 × 752.22
  4. Step 4: Simplify right side
    1,482.30x = 1,672,320.46
  5. Step 5: Solve for x
    x = 1,672,320.46/1,482.30
  6. Step 6: Final answer
    x = 1,128.19

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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.