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Finding the Fourth Proportional to 802.98, 1,108.08 and 448.90

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Solution

The fourth proportional to 802.98, 1,108.08 and 448.90 is: 619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.98 : 1,108.08 = 448.90 : x
  2. Step 2: Convert to fraction form
    802.98/1,108.08 = 448.90/x
  3. Step 3: Cross multiply
    802.98x = 1,108.08 × 448.90
  4. Step 4: Simplify right side
    802.98x = 497,414.34
  5. Step 5: Solve for x
    x = 497,414.34/802.98
  6. Step 6: Final answer
    x = 619.46

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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.