Home / 1,028.02-1,541.98-297.63

Finding the Fourth Proportional to 1,028.02, 1,541.98 and 297.63

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Solution

The fourth proportional to 1,028.02, 1,541.98 and 297.63 is: 446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.02 : 1,541.98 = 297.63 : x
  2. Step 2: Convert to fraction form
    1,028.02/1,541.98 = 297.63/x
  3. Step 3: Cross multiply
    1,028.02x = 1,541.98 × 297.63
  4. Step 4: Simplify right side
    1,028.02x = 458,939.51
  5. Step 5: Solve for x
    x = 458,939.51/1,028.02
  6. Step 6: Final answer
    x = 446.43

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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.