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Finding the Fourth Proportional to 1,160.65, 1,739.08 and 666.45

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Solution

The fourth proportional to 1,160.65, 1,739.08 and 666.45 is: 998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.65 : 1,739.08 = 666.45 : x
  2. Step 2: Convert to fraction form
    1,160.65/1,739.08 = 666.45/x
  3. Step 3: Cross multiply
    1,160.65x = 1,739.08 × 666.45
  4. Step 4: Simplify right side
    1,160.65x = 1,159,009.87
  5. Step 5: Solve for x
    x = 1,159,009.87/1,160.65
  6. Step 6: Final answer
    x = 998.59

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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.