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Finding the Fourth Proportional to 1,402.32, 2,102.04 and 536.28

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Solution

The fourth proportional to 1,402.32, 2,102.04 and 536.28 is: 803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.32 : 2,102.04 = 536.28 : x
  2. Step 2: Convert to fraction form
    1,402.32/2,102.04 = 536.28/x
  3. Step 3: Cross multiply
    1,402.32x = 2,102.04 × 536.28
  4. Step 4: Simplify right side
    1,402.32x = 1,127,282.01
  5. Step 5: Solve for x
    x = 1,127,282.01/1,402.32
  6. Step 6: Final answer
    x = 803.87

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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.