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Finding the Fourth Proportional to 1,157.59, 1,738.28 and 976.15

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Solution

The fourth proportional to 1,157.59, 1,738.28 and 976.15 is: 1,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.59 : 1,738.28 = 976.15 : x
  2. Step 2: Convert to fraction form
    1,157.59/1,738.28 = 976.15/x
  3. Step 3: Cross multiply
    1,157.59x = 1,738.28 × 976.15
  4. Step 4: Simplify right side
    1,157.59x = 1,696,822.02
  5. Step 5: Solve for x
    x = 1,696,822.02/1,157.59
  6. Step 6: Final answer
    x = 1,465.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.