Home / 1,028.02-1,542.56-442.93

Finding the Fourth Proportional to 1,028.02, 1,542.56 and 442.93

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Solution

The fourth proportional to 1,028.02, 1,542.56 and 442.93 is: 664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.02 : 1,542.56 = 442.93 : x
  2. Step 2: Convert to fraction form
    1,028.02/1,542.56 = 442.93/x
  3. Step 3: Cross multiply
    1,028.02x = 1,542.56 × 442.93
  4. Step 4: Simplify right side
    1,028.02x = 683,246.10
  5. Step 5: Solve for x
    x = 683,246.10/1,028.02
  6. Step 6: Final answer
    x = 664.62

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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.