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Finding the Fourth Proportional to 710, 1,062.91 and 528.20

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Solution

The fourth proportional to 710, 1,062.91 and 528.20 is: 790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    710 : 1,062.91 = 528.20 : x
  2. Step 2: Convert to fraction form
    710/1,062.91 = 528.20/x
  3. Step 3: Cross multiply
    710x = 1,062.91 × 528.20
  4. Step 4: Simplify right side
    710x = 561,429.06
  5. Step 5: Solve for x
    x = 561,429.06/710
  6. Step 6: Final answer
    x = 790.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.