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Finding the Fourth Proportional to 1,574.23, 2,361.07 and 478.33

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Solution

The fourth proportional to 1,574.23, 2,361.07 and 478.33 is: 717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.23 : 2,361.07 = 478.33 : x
  2. Step 2: Convert to fraction form
    1,574.23/2,361.07 = 478.33/x
  3. Step 3: Cross multiply
    1,574.23x = 2,361.07 × 478.33
  4. Step 4: Simplify right side
    1,574.23x = 1,129,356.42
  5. Step 5: Solve for x
    x = 1,129,356.42/1,574.23
  6. Step 6: Final answer
    x = 717.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.