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Finding the Fourth Proportional to 1,574.86, 2,361.99 and 479.50

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Solution

The fourth proportional to 1,574.86, 2,361.99 and 479.50 is: 719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.86 : 2,361.99 = 479.50 : x
  2. Step 2: Convert to fraction form
    1,574.86/2,361.99 = 479.50/x
  3. Step 3: Cross multiply
    1,574.86x = 2,361.99 × 479.50
  4. Step 4: Simplify right side
    1,574.86x = 1,132,574.21
  5. Step 5: Solve for x
    x = 1,132,574.21/1,574.86
  6. Step 6: Final answer
    x = 719.16

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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.