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Finding the Fourth Proportional to 1,158.77, 1,598.94 and 661.33

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Solution

The fourth proportional to 1,158.77, 1,598.94 and 661.33 is: 912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.77 : 1,598.94 = 661.33 : x
  2. Step 2: Convert to fraction form
    1,158.77/1,598.94 = 661.33/x
  3. Step 3: Cross multiply
    1,158.77x = 1,598.94 × 661.33
  4. Step 4: Simplify right side
    1,158.77x = 1,057,428.99
  5. Step 5: Solve for x
    x = 1,057,428.99/1,158.77
  6. Step 6: Final answer
    x = 912.54

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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.