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Finding the Fourth Proportional to 646.12, 970.35 and 620.02

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Solution

The fourth proportional to 646.12, 970.35 and 620.02 is: 931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 970.35 = 620.02 : x
  2. Step 2: Convert to fraction form
    646.12/970.35 = 620.02/x
  3. Step 3: Cross multiply
    646.12x = 970.35 × 620.02
  4. Step 4: Simplify right side
    646.12x = 601,636.41
  5. Step 5: Solve for x
    x = 601,636.41/646.12
  6. Step 6: Final answer
    x = 931.15

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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.