Home / 1,038.02-1,432.49-596.06

Finding the Fourth Proportional to 1,038.02, 1,432.49 and 596.06

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Solution

The fourth proportional to 1,038.02, 1,432.49 and 596.06 is: 822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.02 : 1,432.49 = 596.06 : x
  2. Step 2: Convert to fraction form
    1,038.02/1,432.49 = 596.06/x
  3. Step 3: Cross multiply
    1,038.02x = 1,432.49 × 596.06
  4. Step 4: Simplify right side
    1,038.02x = 853,849.99
  5. Step 5: Solve for x
    x = 853,849.99/1,038.02
  6. Step 6: Final answer
    x = 822.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.