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Finding the Fourth Proportional to 1,150.93, 1,588.44 and 653.77

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Solution

The fourth proportional to 1,150.93, 1,588.44 and 653.77 is: 902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.93 : 1,588.44 = 653.77 : x
  2. Step 2: Convert to fraction form
    1,150.93/1,588.44 = 653.77/x
  3. Step 3: Cross multiply
    1,150.93x = 1,588.44 × 653.77
  4. Step 4: Simplify right side
    1,150.93x = 1,038,474.42
  5. Step 5: Solve for x
    x = 1,038,474.42/1,150.93
  6. Step 6: Final answer
    x = 902.29

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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.