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Finding the Fourth Proportional to 802.58, 1,107.41 and 507.64

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Solution

The fourth proportional to 802.58, 1,107.41 and 507.64 is: 700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.58 : 1,107.41 = 507.64 : x
  2. Step 2: Convert to fraction form
    802.58/1,107.41 = 507.64/x
  3. Step 3: Cross multiply
    802.58x = 1,107.41 × 507.64
  4. Step 4: Simplify right side
    802.58x = 562,165.61
  5. Step 5: Solve for x
    x = 562,165.61/802.58
  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.