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Finding the Fourth Proportional to 1,019.32, 1,529.85 and 403.47

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Solution

The fourth proportional to 1,019.32, 1,529.85 and 403.47 is: 605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.32 : 1,529.85 = 403.47 : x
  2. Step 2: Convert to fraction form
    1,019.32/1,529.85 = 403.47/x
  3. Step 3: Cross multiply
    1,019.32x = 1,529.85 × 403.47
  4. Step 4: Simplify right side
    1,019.32x = 617,248.58
  5. Step 5: Solve for x
    x = 617,248.58/1,019.32
  6. Step 6: Final answer
    x = 605.55

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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.