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Finding the Fourth Proportional to 1,410.90, 2,116.48 and 437.28

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Solution

The fourth proportional to 1,410.90, 2,116.48 and 437.28 is: 655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.90 : 2,116.48 = 437.28 : x
  2. Step 2: Convert to fraction form
    1,410.90/2,116.48 = 437.28/x
  3. Step 3: Cross multiply
    1,410.90x = 2,116.48 × 437.28
  4. Step 4: Simplify right side
    1,410.90x = 925,494.37
  5. Step 5: Solve for x
    x = 925,494.37/1,410.90
  6. Step 6: Final answer
    x = 655.96

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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.