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Finding the Fourth Proportional to 802.76, 1,107.32 and 507.80

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Solution

The fourth proportional to 802.76, 1,107.32 and 507.80 is: 700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.76 : 1,107.32 = 507.80 : x
  2. Step 2: Convert to fraction form
    802.76/1,107.32 = 507.80/x
  3. Step 3: Cross multiply
    802.76x = 1,107.32 × 507.80
  4. Step 4: Simplify right side
    802.76x = 562,297.10
  5. Step 5: Solve for x
    x = 562,297.10/802.76
  6. Step 6: Final answer
    x = 700.45

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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.