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Finding the Fourth Proportional to 1,410.79, 2,116.46 and 436.72

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Solution

The fourth proportional to 1,410.79, 2,116.46 and 436.72 is: 655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.79 : 2,116.46 = 436.72 : x
  2. Step 2: Convert to fraction form
    1,410.79/2,116.46 = 436.72/x
  3. Step 3: Cross multiply
    1,410.79x = 2,116.46 × 436.72
  4. Step 4: Simplify right side
    1,410.79x = 924,300.41
  5. Step 5: Solve for x
    x = 924,300.41/1,410.79
  6. Step 6: Final answer
    x = 655.17

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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.