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Finding the Fourth Proportional to 1,020.82, 1,408.72 and 555.07

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Solution

The fourth proportional to 1,020.82, 1,408.72 and 555.07 is: 765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.82 : 1,408.72 = 555.07 : x
  2. Step 2: Convert to fraction form
    1,020.82/1,408.72 = 555.07/x
  3. Step 3: Cross multiply
    1,020.82x = 1,408.72 × 555.07
  4. Step 4: Simplify right side
    1,020.82x = 781,931.17
  5. Step 5: Solve for x
    x = 781,931.17/1,020.82
  6. Step 6: Final answer
    x = 765.99

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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.