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Finding the Fourth Proportional to 1,108.50, 1,529.73 and 643.14

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Solution

The fourth proportional to 1,108.50, 1,529.73 and 643.14 is: 887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.50 : 1,529.73 = 643.14 : x
  2. Step 2: Convert to fraction form
    1,108.50/1,529.73 = 643.14/x
  3. Step 3: Cross multiply
    1,108.50x = 1,529.73 × 643.14
  4. Step 4: Simplify right side
    1,108.50x = 983,830.55
  5. Step 5: Solve for x
    x = 983,830.55/1,108.50
  6. Step 6: Final answer
    x = 887.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.