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Finding the Fourth Proportional to 1,334.66, 2,002.16 and 410.06

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Solution

The fourth proportional to 1,334.66, 2,002.16 and 410.06 is: 615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.66 : 2,002.16 = 410.06 : x
  2. Step 2: Convert to fraction form
    1,334.66/2,002.16 = 410.06/x
  3. Step 3: Cross multiply
    1,334.66x = 2,002.16 × 410.06
  4. Step 4: Simplify right side
    1,334.66x = 821,011.76
  5. Step 5: Solve for x
    x = 821,011.76/1,334.66
  6. Step 6: Final answer
    x = 615.15

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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.