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Finding the Fourth Proportional to 1,150.81, 1,588.06 and 653.39

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Solution

The fourth proportional to 1,150.81, 1,588.06 and 653.39 is: 901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.81 : 1,588.06 = 653.39 : x
  2. Step 2: Convert to fraction form
    1,150.81/1,588.06 = 653.39/x
  3. Step 3: Cross multiply
    1,150.81x = 1,588.06 × 653.39
  4. Step 4: Simplify right side
    1,150.81x = 1,037,614.58
  5. Step 5: Solve for x
    x = 1,037,614.58/1,150.81
  6. Step 6: Final answer
    x = 901.64

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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.