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Finding the Fourth Proportional to 1,029.01, 1,420.05 and 625.12

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Solution

The fourth proportional to 1,029.01, 1,420.05 and 625.12 is: 862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.01 : 1,420.05 = 625.12 : x
  2. Step 2: Convert to fraction form
    1,029.01/1,420.05 = 625.12/x
  3. Step 3: Cross multiply
    1,029.01x = 1,420.05 × 625.12
  4. Step 4: Simplify right side
    1,029.01x = 887,701.66
  5. Step 5: Solve for x
    x = 887,701.66/1,029.01
  6. Step 6: Final answer
    x = 862.68

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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.