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Finding the Fourth Proportional to 1,362.42, 2,041.00 and 711.59

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Solution

The fourth proportional to 1,362.42, 2,041.00 and 711.59 is: 1,066.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.42 : 2,041.00 = 711.59 : x
  2. Step 2: Convert to fraction form
    1,362.42/2,041.00 = 711.59/x
  3. Step 3: Cross multiply
    1,362.42x = 2,041.00 × 711.59
  4. Step 4: Simplify right side
    1,362.42x = 1,452,343.21
  5. Step 5: Solve for x
    x = 1,452,343.21/1,362.42
  6. Step 6: Final answer
    x = 1,066.00

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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.