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Finding the Fourth Proportional to 1,410.98, 2,116.38 and 437

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Solution

The fourth proportional to 1,410.98, 2,116.38 and 437 is: 655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.98 : 2,116.38 = 437 : x
  2. Step 2: Convert to fraction form
    1,410.98/2,116.38 = 437/x
  3. Step 3: Cross multiply
    1,410.98x = 2,116.38 × 437
  4. Step 4: Simplify right side
    1,410.98x = 924,858.06
  5. Step 5: Solve for x
    x = 924,858.06/1,410.98
  6. Step 6: Final answer
    x = 655.47

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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.