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Finding the Fourth Proportional to 1,356.02, 2,032.65 and 534.87

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Solution

The fourth proportional to 1,356.02, 2,032.65 and 534.87 is: 801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.02 : 2,032.65 = 534.87 : x
  2. Step 2: Convert to fraction form
    1,356.02/2,032.65 = 534.87/x
  3. Step 3: Cross multiply
    1,356.02x = 2,032.65 × 534.87
  4. Step 4: Simplify right side
    1,356.02x = 1,087,203.51
  5. Step 5: Solve for x
    x = 1,087,203.51/1,356.02
  6. Step 6: Final answer
    x = 801.76

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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.