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Finding the Fourth Proportional to 646.59, 970.13 and 644.56

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Solution

The fourth proportional to 646.59, 970.13 and 644.56 is: 967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.59 : 970.13 = 644.56 : x
  2. Step 2: Convert to fraction form
    646.59/970.13 = 644.56/x
  3. Step 3: Cross multiply
    646.59x = 970.13 × 644.56
  4. Step 4: Simplify right side
    646.59x = 625,303.77
  5. Step 5: Solve for x
    x = 625,303.77/646.59
  6. Step 6: Final answer
    x = 967.09

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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.