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Finding the Fourth Proportional to 802.72, 1,104.92 and 771.59

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Solution

The fourth proportional to 802.72, 1,104.92 and 771.59 is: 1,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.72 : 1,104.92 = 771.59 : x
  2. Step 2: Convert to fraction form
    802.72/1,104.92 = 771.59/x
  3. Step 3: Cross multiply
    802.72x = 1,104.92 × 771.59
  4. Step 4: Simplify right side
    802.72x = 852,547.02
  5. Step 5: Solve for x
    x = 852,547.02/802.72
  6. Step 6: Final answer
    x = 1,062.07

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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.