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Finding the Fourth Proportional to 1,357.24, 2,035.84 and 479.70

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Solution

The fourth proportional to 1,357.24, 2,035.84 and 479.70 is: 719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.24 : 2,035.84 = 479.70 : x
  2. Step 2: Convert to fraction form
    1,357.24/2,035.84 = 479.70/x
  3. Step 3: Cross multiply
    1,357.24x = 2,035.84 × 479.70
  4. Step 4: Simplify right side
    1,357.24x = 976,592.45
  5. Step 5: Solve for x
    x = 976,592.45/1,357.24
  6. Step 6: Final answer
    x = 719.54

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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.