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Finding the Fourth Proportional to 1,193.68, 1,790.92 and 463.28

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Solution

The fourth proportional to 1,193.68, 1,790.92 and 463.28 is: 695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.68 : 1,790.92 = 463.28 : x
  2. Step 2: Convert to fraction form
    1,193.68/1,790.92 = 463.28/x
  3. Step 3: Cross multiply
    1,193.68x = 1,790.92 × 463.28
  4. Step 4: Simplify right side
    1,193.68x = 829,697.42
  5. Step 5: Solve for x
    x = 829,697.42/1,193.68
  6. Step 6: Final answer
    x = 695.08

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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.