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Finding the Fourth Proportional to 991.70, 1,370.19 and 783.47

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Solution

The fourth proportional to 991.70, 1,370.19 and 783.47 is: 1,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.70 : 1,370.19 = 783.47 : x
  2. Step 2: Convert to fraction form
    991.70/1,370.19 = 783.47/x
  3. Step 3: Cross multiply
    991.70x = 1,370.19 × 783.47
  4. Step 4: Simplify right side
    991.70x = 1,073,495.91
  5. Step 5: Solve for x
    x = 1,073,495.91/991.70
  6. Step 6: Final answer
    x = 1,082.49

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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.