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Finding the Fourth Proportional to 738.81, 1,020.15 and 552.63

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Solution

The fourth proportional to 738.81, 1,020.15 and 552.63 is: 763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.81 : 1,020.15 = 552.63 : x
  2. Step 2: Convert to fraction form
    738.81/1,020.15 = 552.63/x
  3. Step 3: Cross multiply
    738.81x = 1,020.15 × 552.63
  4. Step 4: Simplify right side
    738.81x = 563,765.49
  5. Step 5: Solve for x
    x = 563,765.49/738.81
  6. Step 6: Final answer
    x = 763.07

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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.