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Finding the Fourth Proportional to 1,158.86, 1,739.83 and 665.75

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Solution

The fourth proportional to 1,158.86, 1,739.83 and 665.75 is: 999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.86 : 1,739.83 = 665.75 : x
  2. Step 2: Convert to fraction form
    1,158.86/1,739.83 = 665.75/x
  3. Step 3: Cross multiply
    1,158.86x = 1,739.83 × 665.75
  4. Step 4: Simplify right side
    1,158.86x = 1,158,294.51
  5. Step 5: Solve for x
    x = 1,158,294.51/1,158.86
  6. Step 6: Final answer
    x = 999.52

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Why These Related Problems?

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