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Finding the Fourth Proportional to 1,062.99, 1,593.72 and 652.01

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Solution

The fourth proportional to 1,062.99, 1,593.72 and 652.01 is: 977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.99 : 1,593.72 = 652.01 : x
  2. Step 2: Convert to fraction form
    1,062.99/1,593.72 = 652.01/x
  3. Step 3: Cross multiply
    1,062.99x = 1,593.72 × 652.01
  4. Step 4: Simplify right side
    1,062.99x = 1,039,113.41
  5. Step 5: Solve for x
    x = 1,039,113.41/1,062.99
  6. Step 6: Final answer
    x = 977.54

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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.