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Finding the Fourth Proportional to 790.16, 1,090.28 and 514

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Solution

The fourth proportional to 790.16, 1,090.28 and 514 is: 709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.16 : 1,090.28 = 514 : x
  2. Step 2: Convert to fraction form
    790.16/1,090.28 = 514/x
  3. Step 3: Cross multiply
    790.16x = 1,090.28 × 514
  4. Step 4: Simplify right side
    790.16x = 560,403.92
  5. Step 5: Solve for x
    x = 560,403.92/790.16
  6. Step 6: Final answer
    x = 709.23

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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.