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Finding the Fourth Proportional to 1,410.98, 2,116.67 and 437.16

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Solution

The fourth proportional to 1,410.98, 2,116.67 and 437.16 is: 655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.98 : 2,116.67 = 437.16 : x
  2. Step 2: Convert to fraction form
    1,410.98/2,116.67 = 437.16/x
  3. Step 3: Cross multiply
    1,410.98x = 2,116.67 × 437.16
  4. Step 4: Simplify right side
    1,410.98x = 925,316.61
  5. Step 5: Solve for x
    x = 925,316.61/1,410.98
  6. Step 6: Final answer
    x = 655.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.