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Finding the Fourth Proportional to 1,019.37, 1,526.76 and 470.73

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Solution

The fourth proportional to 1,019.37, 1,526.76 and 470.73 is: 705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.37 : 1,526.76 = 470.73 : x
  2. Step 2: Convert to fraction form
    1,019.37/1,526.76 = 470.73/x
  3. Step 3: Cross multiply
    1,019.37x = 1,526.76 × 470.73
  4. Step 4: Simplify right side
    1,019.37x = 718,691.73
  5. Step 5: Solve for x
    x = 718,691.73/1,019.37
  6. Step 6: Final answer
    x = 705.04

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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.