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Finding the Fourth Proportional to 1,574.66, 2,361.44 and 463.77

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Solution

The fourth proportional to 1,574.66, 2,361.44 and 463.77 is: 695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.66 : 2,361.44 = 463.77 : x
  2. Step 2: Convert to fraction form
    1,574.66/2,361.44 = 463.77/x
  3. Step 3: Cross multiply
    1,574.66x = 2,361.44 × 463.77
  4. Step 4: Simplify right side
    1,574.66x = 1,095,165.03
  5. Step 5: Solve for x
    x = 1,095,165.03/1,574.66
  6. Step 6: Final answer
    x = 695.49

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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.