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Finding the Fourth Proportional to 1,056.41, 1,457.84 and 637

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Solution

The fourth proportional to 1,056.41, 1,457.84 and 637 is: 879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.41 : 1,457.84 = 637 : x
  2. Step 2: Convert to fraction form
    1,056.41/1,457.84 = 637/x
  3. Step 3: Cross multiply
    1,056.41x = 1,457.84 × 637
  4. Step 4: Simplify right side
    1,056.41x = 928,644.08
  5. Step 5: Solve for x
    x = 928,644.08/1,056.41
  6. Step 6: Final answer
    x = 879.06

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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.