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Finding the Fourth Proportional to 1,156.42, 1,734.12 and 462.94

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Solution

The fourth proportional to 1,156.42, 1,734.12 and 462.94 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.42 : 1,734.12 = 462.94 : x
  2. Step 2: Convert to fraction form
    1,156.42/1,734.12 = 462.94/x
  3. Step 3: Cross multiply
    1,156.42x = 1,734.12 × 462.94
  4. Step 4: Simplify right side
    1,156.42x = 802,793.51
  5. Step 5: Solve for x
    x = 802,793.51/1,156.42
  6. Step 6: Final answer
    x = 694.21

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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.