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Finding the Fourth Proportional to 970.02, 1,338.74 and 616.05

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Solution

The fourth proportional to 970.02, 1,338.74 and 616.05 is: 850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.02 : 1,338.74 = 616.05 : x
  2. Step 2: Convert to fraction form
    970.02/1,338.74 = 616.05/x
  3. Step 3: Cross multiply
    970.02x = 1,338.74 × 616.05
  4. Step 4: Simplify right side
    970.02x = 824,727.70
  5. Step 5: Solve for x
    x = 824,727.70/970.02
  6. Step 6: Final answer
    x = 850.22

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Why These Related Problems?

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