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Finding the Fourth Proportional to 802.78, 1,203.63 and 456.27

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Solution

The fourth proportional to 802.78, 1,203.63 and 456.27 is: 684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.78 : 1,203.63 = 456.27 : x
  2. Step 2: Convert to fraction form
    802.78/1,203.63 = 456.27/x
  3. Step 3: Cross multiply
    802.78x = 1,203.63 × 456.27
  4. Step 4: Simplify right side
    802.78x = 549,188.04
  5. Step 5: Solve for x
    x = 549,188.04/802.78
  6. Step 6: Final answer
    x = 684.11

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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.