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Finding the Fourth Proportional to 1,156.74, 1,733.84 and 463.24

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Solution

The fourth proportional to 1,156.74, 1,733.84 and 463.24 is: 694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.74 : 1,733.84 = 463.24 : x
  2. Step 2: Convert to fraction form
    1,156.74/1,733.84 = 463.24/x
  3. Step 3: Cross multiply
    1,156.74x = 1,733.84 × 463.24
  4. Step 4: Simplify right side
    1,156.74x = 803,184.04
  5. Step 5: Solve for x
    x = 803,184.04/1,156.74
  6. Step 6: Final answer
    x = 694.35

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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.