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Finding the Fourth Proportional to 1,410.78, 2,116.31 and 437.03

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Solution

The fourth proportional to 1,410.78, 2,116.31 and 437.03 is: 655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.78 : 2,116.31 = 437.03 : x
  2. Step 2: Convert to fraction form
    1,410.78/2,116.31 = 437.03/x
  3. Step 3: Cross multiply
    1,410.78x = 2,116.31 × 437.03
  4. Step 4: Simplify right side
    1,410.78x = 924,890.96
  5. Step 5: Solve for x
    x = 924,890.96/1,410.78
  6. Step 6: Final answer
    x = 655.59

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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.