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Finding the Fourth Proportional to 1,506.10, 2,259.07 and 480.02

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Solution

The fourth proportional to 1,506.10, 2,259.07 and 480.02 is: 720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.10 : 2,259.07 = 480.02 : x
  2. Step 2: Convert to fraction form
    1,506.10/2,259.07 = 480.02/x
  3. Step 3: Cross multiply
    1,506.10x = 2,259.07 × 480.02
  4. Step 4: Simplify right side
    1,506.10x = 1,084,398.78
  5. Step 5: Solve for x
    x = 1,084,398.78/1,506.10
  6. Step 6: Final answer
    x = 720.00

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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.