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Finding the Fourth Proportional to 1,160.04, 1,594.05 and 926.76

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Solution

The fourth proportional to 1,160.04, 1,594.05 and 926.76 is: 1,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.04 : 1,594.05 = 926.76 : x
  2. Step 2: Convert to fraction form
    1,160.04/1,594.05 = 926.76/x
  3. Step 3: Cross multiply
    1,160.04x = 1,594.05 × 926.76
  4. Step 4: Simplify right side
    1,160.04x = 1,477,301.78
  5. Step 5: Solve for x
    x = 1,477,301.78/1,160.04
  6. Step 6: Final answer
    x = 1,273.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.