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Finding the Fourth Proportional to 1,482.22, 2,223.43 and 509.00

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Solution

The fourth proportional to 1,482.22, 2,223.43 and 509.00 is: 763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.22 : 2,223.43 = 509.00 : x
  2. Step 2: Convert to fraction form
    1,482.22/2,223.43 = 509.00/x
  3. Step 3: Cross multiply
    1,482.22x = 2,223.43 × 509.00
  4. Step 4: Simplify right side
    1,482.22x = 1,131,730.16
  5. Step 5: Solve for x
    x = 1,131,730.16/1,482.22
  6. Step 6: Final answer
    x = 763.54

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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.