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Finding the Fourth Proportional to 1,158.37, 1,598.74 and 661.16

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Solution

The fourth proportional to 1,158.37, 1,598.74 and 661.16 is: 912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.37 : 1,598.74 = 661.16 : x
  2. Step 2: Convert to fraction form
    1,158.37/1,598.74 = 661.16/x
  3. Step 3: Cross multiply
    1,158.37x = 1,598.74 × 661.16
  4. Step 4: Simplify right side
    1,158.37x = 1,057,025.28
  5. Step 5: Solve for x
    x = 1,057,025.28/1,158.37
  6. Step 6: Final answer
    x = 912.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.