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Finding the Fourth Proportional to 1,020.07, 1,407.68 and 578.06

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Solution

The fourth proportional to 1,020.07, 1,407.68 and 578.06 is: 797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.07 : 1,407.68 = 578.06 : x
  2. Step 2: Convert to fraction form
    1,020.07/1,407.68 = 578.06/x
  3. Step 3: Cross multiply
    1,020.07x = 1,407.68 × 578.06
  4. Step 4: Simplify right side
    1,020.07x = 813,716.46
  5. Step 5: Solve for x
    x = 813,716.46/1,020.07
  6. Step 6: Final answer
    x = 797.71

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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.