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Finding the Fourth Proportional to 583.40, 803.97 and 545.33

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Solution

The fourth proportional to 583.40, 803.97 and 545.33 is: 751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.40 : 803.97 = 545.33 : x
  2. Step 2: Convert to fraction form
    583.40/803.97 = 545.33/x
  3. Step 3: Cross multiply
    583.40x = 803.97 × 545.33
  4. Step 4: Simplify right side
    583.40x = 438,428.96
  5. Step 5: Solve for x
    x = 438,428.96/583.40
  6. Step 6: Final answer
    x = 751.51

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