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Finding the Fourth Proportional to 1,151.06, 1,588.41 and 653.64

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Solution

The fourth proportional to 1,151.06, 1,588.41 and 653.64 is: 901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.06 : 1,588.41 = 653.64 : x
  2. Step 2: Convert to fraction form
    1,151.06/1,588.41 = 653.64/x
  3. Step 3: Cross multiply
    1,151.06x = 1,588.41 × 653.64
  4. Step 4: Simplify right side
    1,151.06x = 1,038,237.10
  5. Step 5: Solve for x
    x = 1,038,237.10/1,151.06
  6. Step 6: Final answer
    x = 901.98

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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.