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Finding the Fourth Proportional to 1,124.49, 1,686.65 and 466.23

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Solution

The fourth proportional to 1,124.49, 1,686.65 and 466.23 is: 699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.49 : 1,686.65 = 466.23 : x
  2. Step 2: Convert to fraction form
    1,124.49/1,686.65 = 466.23/x
  3. Step 3: Cross multiply
    1,124.49x = 1,686.65 × 466.23
  4. Step 4: Simplify right side
    1,124.49x = 786,361.67
  5. Step 5: Solve for x
    x = 786,361.67/1,124.49
  6. Step 6: Final answer
    x = 699.30

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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.