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Finding the Fourth Proportional to 745.77, 1,028.68 and 588.16

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Solution

The fourth proportional to 745.77, 1,028.68 and 588.16 is: 811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.77 : 1,028.68 = 588.16 : x
  2. Step 2: Convert to fraction form
    745.77/1,028.68 = 588.16/x
  3. Step 3: Cross multiply
    745.77x = 1,028.68 × 588.16
  4. Step 4: Simplify right side
    745.77x = 605,028.43
  5. Step 5: Solve for x
    x = 605,028.43/745.77
  6. Step 6: Final answer
    x = 811.28

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1.5x scale

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.