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Finding the Fourth Proportional to 1,574.51, 2,361.75 and 478.88

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Solution

The fourth proportional to 1,574.51, 2,361.75 and 478.88 is: 718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.51 : 2,361.75 = 478.88 : x
  2. Step 2: Convert to fraction form
    1,574.51/2,361.75 = 478.88/x
  3. Step 3: Cross multiply
    1,574.51x = 2,361.75 × 478.88
  4. Step 4: Simplify right side
    1,574.51x = 1,130,983.03
  5. Step 5: Solve for x
    x = 1,130,983.03/1,574.51
  6. Step 6: Final answer
    x = 718.31

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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.