Home / 1,408.02-2,111.52-433.78

Finding the Fourth Proportional to 1,408.02, 2,111.52 and 433.78

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Solution

The fourth proportional to 1,408.02, 2,111.52 and 433.78 is: 650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.02 : 2,111.52 = 433.78 : x
  2. Step 2: Convert to fraction form
    1,408.02/2,111.52 = 433.78/x
  3. Step 3: Cross multiply
    1,408.02x = 2,111.52 × 433.78
  4. Step 4: Simplify right side
    1,408.02x = 915,935.15
  5. Step 5: Solve for x
    x = 915,935.15/1,408.02
  6. Step 6: Final answer
    x = 650.51

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Double scale
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1.5x scale

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.