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Finding the Fourth Proportional to 810.10, 1,119.71 and 590.59

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Solution

The fourth proportional to 810.10, 1,119.71 and 590.59 is: 816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.10 : 1,119.71 = 590.59 : x
  2. Step 2: Convert to fraction form
    810.10/1,119.71 = 590.59/x
  3. Step 3: Cross multiply
    810.10x = 1,119.71 × 590.59
  4. Step 4: Simplify right side
    810.10x = 661,288.21
  5. Step 5: Solve for x
    x = 661,288.21/810.10
  6. Step 6: Final answer
    x = 816.31

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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.