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Finding the Fourth Proportional to 1,056.72, 1,458.38 and 637.27

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Solution

The fourth proportional to 1,056.72, 1,458.38 and 637.27 is: 879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.72 : 1,458.38 = 637.27 : x
  2. Step 2: Convert to fraction form
    1,056.72/1,458.38 = 637.27/x
  3. Step 3: Cross multiply
    1,056.72x = 1,458.38 × 637.27
  4. Step 4: Simplify right side
    1,056.72x = 929,381.82
  5. Step 5: Solve for x
    x = 929,381.82/1,056.72
  6. Step 6: Final answer
    x = 879.50

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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.