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Finding the Fourth Proportional to 1,156.10, 1,733.70 and 463.07

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Solution

The fourth proportional to 1,156.10, 1,733.70 and 463.07 is: 694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.10 : 1,733.70 = 463.07 : x
  2. Step 2: Convert to fraction form
    1,156.10/1,733.70 = 463.07/x
  3. Step 3: Cross multiply
    1,156.10x = 1,733.70 × 463.07
  4. Step 4: Simplify right side
    1,156.10x = 802,830.53
  5. Step 5: Solve for x
    x = 802,830.53/1,156.10
  6. Step 6: Final answer
    x = 694.43

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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.