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Finding the Fourth Proportional to 1,160.21, 1,600.64 and 740.57

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Solution

The fourth proportional to 1,160.21, 1,600.64 and 740.57 is: 1,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.21 : 1,600.64 = 740.57 : x
  2. Step 2: Convert to fraction form
    1,160.21/1,600.64 = 740.57/x
  3. Step 3: Cross multiply
    1,160.21x = 1,600.64 × 740.57
  4. Step 4: Simplify right side
    1,160.21x = 1,185,382.26
  5. Step 5: Solve for x
    x = 1,185,382.26/1,160.21
  6. Step 6: Final answer
    x = 1,021.70

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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.