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Finding the Fourth Proportional to 970.75, 1,339.64 and 621.46

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Solution

The fourth proportional to 970.75, 1,339.64 and 621.46 is: 857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.75 : 1,339.64 = 621.46 : x
  2. Step 2: Convert to fraction form
    970.75/1,339.64 = 621.46/x
  3. Step 3: Cross multiply
    970.75x = 1,339.64 × 621.46
  4. Step 4: Simplify right side
    970.75x = 832,532.67
  5. Step 5: Solve for x
    x = 832,532.67/970.75
  6. Step 6: Final answer
    x = 857.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.