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Finding the Fourth Proportional to 1,051.93, 1,451.70 and 653.81

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Solution

The fourth proportional to 1,051.93, 1,451.70 and 653.81 is: 902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.93 : 1,451.70 = 653.81 : x
  2. Step 2: Convert to fraction form
    1,051.93/1,451.70 = 653.81/x
  3. Step 3: Cross multiply
    1,051.93x = 1,451.70 × 653.81
  4. Step 4: Simplify right side
    1,051.93x = 949,139.61
  5. Step 5: Solve for x
    x = 949,139.61/1,051.93
  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.