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Finding the Fourth Proportional to 802.94, 1,204.32 and 282.90

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Solution

The fourth proportional to 802.94, 1,204.32 and 282.90 is: 424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.94 : 1,204.32 = 282.90 : x
  2. Step 2: Convert to fraction form
    802.94/1,204.32 = 282.90/x
  3. Step 3: Cross multiply
    802.94x = 1,204.32 × 282.90
  4. Step 4: Simplify right side
    802.94x = 340,702.13
  5. Step 5: Solve for x
    x = 340,702.13/802.94
  6. Step 6: Final answer
    x = 424.32

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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.