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Finding the Fourth Proportional to 1,506.01, 2,259.35 and 812.66

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Solution

The fourth proportional to 1,506.01, 2,259.35 and 812.66 is: 1,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.01 : 2,259.35 = 812.66 : x
  2. Step 2: Convert to fraction form
    1,506.01/2,259.35 = 812.66/x
  3. Step 3: Cross multiply
    1,506.01x = 2,259.35 × 812.66
  4. Step 4: Simplify right side
    1,506.01x = 1,836,074.11
  5. Step 5: Solve for x
    x = 1,836,074.11/1,506.01
  6. Step 6: Final answer
    x = 1,219.17

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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.