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Finding the Fourth Proportional to 1,019.81, 1,529.11 and 402.80

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Solution

The fourth proportional to 1,019.81, 1,529.11 and 402.80 is: 603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.81 : 1,529.11 = 402.80 : x
  2. Step 2: Convert to fraction form
    1,019.81/1,529.11 = 402.80/x
  3. Step 3: Cross multiply
    1,019.81x = 1,529.11 × 402.80
  4. Step 4: Simplify right side
    1,019.81x = 615,925.51
  5. Step 5: Solve for x
    x = 615,925.51/1,019.81
  6. Step 6: Final answer
    x = 603.96

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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.