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Finding the Fourth Proportional to 1,154.84, 1,732.08 and 505.58

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Solution

The fourth proportional to 1,154.84, 1,732.08 and 505.58 is: 758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.84 : 1,732.08 = 505.58 : x
  2. Step 2: Convert to fraction form
    1,154.84/1,732.08 = 505.58/x
  3. Step 3: Cross multiply
    1,154.84x = 1,732.08 × 505.58
  4. Step 4: Simplify right side
    1,154.84x = 875,705.01
  5. Step 5: Solve for x
    x = 875,705.01/1,154.84
  6. Step 6: Final answer
    x = 758.29

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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.