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Finding the Fourth Proportional to 1,051.84, 1,451.76 and 757.60

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Solution

The fourth proportional to 1,051.84, 1,451.76 and 757.60 is: 1,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.84 : 1,451.76 = 757.60 : x
  2. Step 2: Convert to fraction form
    1,051.84/1,451.76 = 757.60/x
  3. Step 3: Cross multiply
    1,051.84x = 1,451.76 × 757.60
  4. Step 4: Simplify right side
    1,051.84x = 1,099,853.38
  5. Step 5: Solve for x
    x = 1,099,853.38/1,051.84
  6. Step 6: Final answer
    x = 1,045.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.