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Finding the Fourth Proportional to 1,410.75, 2,116.46 and 436.86

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Solution

The fourth proportional to 1,410.75, 2,116.46 and 436.86 is: 655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.75 : 2,116.46 = 436.86 : x
  2. Step 2: Convert to fraction form
    1,410.75/2,116.46 = 436.86/x
  3. Step 3: Cross multiply
    1,410.75x = 2,116.46 × 436.86
  4. Step 4: Simplify right side
    1,410.75x = 924,596.72
  5. Step 5: Solve for x
    x = 924,596.72/1,410.75
  6. Step 6: Final answer
    x = 655.39

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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.