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Finding the Fourth Proportional to 1,574.48, 2,362.08 and 479.36

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Solution

The fourth proportional to 1,574.48, 2,362.08 and 479.36 is: 719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.48 : 2,362.08 = 479.36 : x
  2. Step 2: Convert to fraction form
    1,574.48/2,362.08 = 479.36/x
  3. Step 3: Cross multiply
    1,574.48x = 2,362.08 × 479.36
  4. Step 4: Simplify right side
    1,574.48x = 1,132,286.67
  5. Step 5: Solve for x
    x = 1,132,286.67/1,574.48
  6. Step 6: Final answer
    x = 719.15

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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.