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Finding the Fourth Proportional to 1,483.22, 2,224.93 and 510.01

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Solution

The fourth proportional to 1,483.22, 2,224.93 and 510.01 is: 765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.22 : 2,224.93 = 510.01 : x
  2. Step 2: Convert to fraction form
    1,483.22/2,224.93 = 510.01/x
  3. Step 3: Cross multiply
    1,483.22x = 2,224.93 × 510.01
  4. Step 4: Simplify right side
    1,483.22x = 1,134,725.42
  5. Step 5: Solve for x
    x = 1,134,725.42/1,483.22
  6. Step 6: Final answer
    x = 765.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.