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Finding the Fourth Proportional to 647.86, 973.80 and 432.82

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Solution

The fourth proportional to 647.86, 973.80 and 432.82 is: 650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.86 : 973.80 = 432.82 : x
  2. Step 2: Convert to fraction form
    647.86/973.80 = 432.82/x
  3. Step 3: Cross multiply
    647.86x = 973.80 × 432.82
  4. Step 4: Simplify right side
    647.86x = 421,480.12
  5. Step 5: Solve for x
    x = 421,480.12/647.86
  6. Step 6: Final answer
    x = 650.57

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