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Finding the Fourth Proportional to 1,536.00, 2,303.98 and 713.81

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Solution

The fourth proportional to 1,536.00, 2,303.98 and 713.81 is: 1,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.00 : 2,303.98 = 713.81 : x
  2. Step 2: Convert to fraction form
    1,536.00/2,303.98 = 713.81/x
  3. Step 3: Cross multiply
    1,536.00x = 2,303.98 × 713.81
  4. Step 4: Simplify right side
    1,536.00x = 1,644,607.94
  5. Step 5: Solve for x
    x = 1,644,607.94/1,536.00
  6. Step 6: Final answer
    x = 1,070.71

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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.