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Finding the Fourth Proportional to 1,193.49, 1,790.69 and 500.63

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Solution

The fourth proportional to 1,193.49, 1,790.69 and 500.63 is: 751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.49 : 1,790.69 = 500.63 : x
  2. Step 2: Convert to fraction form
    1,193.49/1,790.69 = 500.63/x
  3. Step 3: Cross multiply
    1,193.49x = 1,790.69 × 500.63
  4. Step 4: Simplify right side
    1,193.49x = 896,473.13
  5. Step 5: Solve for x
    x = 896,473.13/1,193.49
  6. Step 6: Final answer
    x = 751.14

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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.