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Finding the Fourth Proportional to 1,029.47, 1,420.70 and 563.72

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Solution

The fourth proportional to 1,029.47, 1,420.70 and 563.72 is: 777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.47 : 1,420.70 = 563.72 : x
  2. Step 2: Convert to fraction form
    1,029.47/1,420.70 = 563.72/x
  3. Step 3: Cross multiply
    1,029.47x = 1,420.70 × 563.72
  4. Step 4: Simplify right side
    1,029.47x = 800,877.00
  5. Step 5: Solve for x
    x = 800,877.00/1,029.47
  6. Step 6: Final answer
    x = 777.95

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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.