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Finding the Fourth Proportional to 802.67, 1,107.51 and 508.02

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Solution

The fourth proportional to 802.67, 1,107.51 and 508.02 is: 700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.67 : 1,107.51 = 508.02 : x
  2. Step 2: Convert to fraction form
    802.67/1,107.51 = 508.02/x
  3. Step 3: Cross multiply
    802.67x = 1,107.51 × 508.02
  4. Step 4: Simplify right side
    802.67x = 562,637.23
  5. Step 5: Solve for x
    x = 562,637.23/802.67
  6. Step 6: Final answer
    x = 700.96

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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.