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Finding the Fourth Proportional to 1,150.99, 1,588.56 and 653.70

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Solution

The fourth proportional to 1,150.99, 1,588.56 and 653.70 is: 902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.99 : 1,588.56 = 653.70 : x
  2. Step 2: Convert to fraction form
    1,150.99/1,588.56 = 653.70/x
  3. Step 3: Cross multiply
    1,150.99x = 1,588.56 × 653.70
  4. Step 4: Simplify right side
    1,150.99x = 1,038,441.67
  5. Step 5: Solve for x
    x = 1,038,441.67/1,150.99
  6. Step 6: Final answer
    x = 902.22

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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.