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Finding the Fourth Proportional to 1,558.51, 2,337.91 and 634.15

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Solution

The fourth proportional to 1,558.51, 2,337.91 and 634.15 is: 951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.51 : 2,337.91 = 634.15 : x
  2. Step 2: Convert to fraction form
    1,558.51/2,337.91 = 634.15/x
  3. Step 3: Cross multiply
    1,558.51x = 2,337.91 × 634.15
  4. Step 4: Simplify right side
    1,558.51x = 1,482,577.38
  5. Step 5: Solve for x
    x = 1,482,577.38/1,558.51
  6. Step 6: Final answer
    x = 951.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.