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Finding the Fourth Proportional to 1,027.76, 1,417.70 and 634.50

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Solution

The fourth proportional to 1,027.76, 1,417.70 and 634.50 is: 875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.76 : 1,417.70 = 634.50 : x
  2. Step 2: Convert to fraction form
    1,027.76/1,417.70 = 634.50/x
  3. Step 3: Cross multiply
    1,027.76x = 1,417.70 × 634.50
  4. Step 4: Simplify right side
    1,027.76x = 899,532.24
  5. Step 5: Solve for x
    x = 899,532.24/1,027.76
  6. Step 6: Final answer
    x = 875.24

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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.