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Finding the Fourth Proportional to 1,156, 1,734 and 462.98

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Solution

The fourth proportional to 1,156, 1,734 and 462.98 is: 694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156 : 1,734 = 462.98 : x
  2. Step 2: Convert to fraction form
    1,156/1,734 = 462.98/x
  3. Step 3: Cross multiply
    1,156x = 1,734 × 462.98
  4. Step 4: Simplify right side
    1,156x = 802,807.32
  5. Step 5: Solve for x
    x = 802,807.32/1,156
  6. Step 6: Final answer
    x = 694.47

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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.