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Finding the Fourth Proportional to 802.03, 1,106.80 and 465.98

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Solution

The fourth proportional to 802.03, 1,106.80 and 465.98 is: 643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.03 : 1,106.80 = 465.98 : x
  2. Step 2: Convert to fraction form
    802.03/1,106.80 = 465.98/x
  3. Step 3: Cross multiply
    802.03x = 1,106.80 × 465.98
  4. Step 4: Simplify right side
    802.03x = 515,746.66
  5. Step 5: Solve for x
    x = 515,746.66/802.03
  6. Step 6: Final answer
    x = 643.05

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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.