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Finding the Fourth Proportional to 802.85, 1,108.28 and 761.94

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Solution

The fourth proportional to 802.85, 1,108.28 and 761.94 is: 1,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.85 : 1,108.28 = 761.94 : x
  2. Step 2: Convert to fraction form
    802.85/1,108.28 = 761.94/x
  3. Step 3: Cross multiply
    802.85x = 1,108.28 × 761.94
  4. Step 4: Simplify right side
    802.85x = 844,444.77
  5. Step 5: Solve for x
    x = 844,444.77/802.85
  6. Step 6: Final answer
    x = 1,051.82

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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.