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Finding the Fourth Proportional to 802.59, 1,202.22 and 647.70

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Solution

The fourth proportional to 802.59, 1,202.22 and 647.70 is: 970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.59 : 1,202.22 = 647.70 : x
  2. Step 2: Convert to fraction form
    802.59/1,202.22 = 647.70/x
  3. Step 3: Cross multiply
    802.59x = 1,202.22 × 647.70
  4. Step 4: Simplify right side
    802.59x = 778,677.89
  5. Step 5: Solve for x
    x = 778,677.89/802.59
  6. Step 6: Final answer
    x = 970.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.