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Finding the Fourth Proportional to 970.50, 1,338.56 and 616.11

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Solution

The fourth proportional to 970.50, 1,338.56 and 616.11 is: 849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.50 : 1,338.56 = 616.11 : x
  2. Step 2: Convert to fraction form
    970.50/1,338.56 = 616.11/x
  3. Step 3: Cross multiply
    970.50x = 1,338.56 × 616.11
  4. Step 4: Simplify right side
    970.50x = 824,703.57
  5. Step 5: Solve for x
    x = 824,703.57/970.50
  6. Step 6: Final answer
    x = 849.77

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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.