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Finding the Fourth Proportional to 1,134.07, 1,564.61 and 741.32

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Solution

The fourth proportional to 1,134.07, 1,564.61 and 741.32 is: 1,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.07 : 1,564.61 = 741.32 : x
  2. Step 2: Convert to fraction form
    1,134.07/1,564.61 = 741.32/x
  3. Step 3: Cross multiply
    1,134.07x = 1,564.61 × 741.32
  4. Step 4: Simplify right side
    1,134.07x = 1,159,868.86
  5. Step 5: Solve for x
    x = 1,159,868.86/1,134.07
  6. Step 6: Final answer
    x = 1,022.75

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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.