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Finding the Fourth Proportional to 802.42, 1,107.12 and 507.58

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Solution

The fourth proportional to 802.42, 1,107.12 and 507.58 is: 700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.42 : 1,107.12 = 507.58 : x
  2. Step 2: Convert to fraction form
    802.42/1,107.12 = 507.58/x
  3. Step 3: Cross multiply
    802.42x = 1,107.12 × 507.58
  4. Step 4: Simplify right side
    802.42x = 561,951.97
  5. Step 5: Solve for x
    x = 561,951.97/802.42
  6. Step 6: Final answer
    x = 700.32

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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.