Home / 1,411.20-2,116.19-437.08

Finding the Fourth Proportional to 1,411.20, 2,116.19 and 437.08

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Solution

The fourth proportional to 1,411.20, 2,116.19 and 437.08 is: 655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.20 : 2,116.19 = 437.08 : x
  2. Step 2: Convert to fraction form
    1,411.20/2,116.19 = 437.08/x
  3. Step 3: Cross multiply
    1,411.20x = 2,116.19 × 437.08
  4. Step 4: Simplify right side
    1,411.20x = 924,931.56
  5. Step 5: Solve for x
    x = 924,931.56/1,411.20
  6. Step 6: Final answer
    x = 655.42

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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.