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Finding the Fourth Proportional to 647.64, 970.26 and 574.74

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Solution

The fourth proportional to 647.64, 970.26 and 574.74 is: 861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.64 : 970.26 = 574.74 : x
  2. Step 2: Convert to fraction form
    647.64/970.26 = 574.74/x
  3. Step 3: Cross multiply
    647.64x = 970.26 × 574.74
  4. Step 4: Simplify right side
    647.64x = 557,647.23
  5. Step 5: Solve for x
    x = 557,647.23/647.64
  6. Step 6: Final answer
    x = 861.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.