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Finding the Fourth Proportional to 1,134.67, 1,564.69 and 1,068.53

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Solution

The fourth proportional to 1,134.67, 1,564.69 and 1,068.53 is: 1,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.67 : 1,564.69 = 1,068.53 : x
  2. Step 2: Convert to fraction form
    1,134.67/1,564.69 = 1,068.53/x
  3. Step 3: Cross multiply
    1,134.67x = 1,564.69 × 1,068.53
  4. Step 4: Simplify right side
    1,134.67x = 1,671,910.38
  5. Step 5: Solve for x
    x = 1,671,910.38/1,134.67
  6. Step 6: Final answer
    x = 1,473.48

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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.