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Finding the Fourth Proportional to 1,151.64, 1,588.62 and 709.23

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Solution

The fourth proportional to 1,151.64, 1,588.62 and 709.23 is: 978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.64 : 1,588.62 = 709.23 : x
  2. Step 2: Convert to fraction form
    1,151.64/1,588.62 = 709.23/x
  3. Step 3: Cross multiply
    1,151.64x = 1,588.62 × 709.23
  4. Step 4: Simplify right side
    1,151.64x = 1,126,696.96
  5. Step 5: Solve for x
    x = 1,126,696.96/1,151.64
  6. Step 6: Final answer
    x = 978.34

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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.