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Finding the Fourth Proportional to 778.34, 1,074.18 and 581.51

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Solution

The fourth proportional to 778.34, 1,074.18 and 581.51 is: 802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.34 : 1,074.18 = 581.51 : x
  2. Step 2: Convert to fraction form
    778.34/1,074.18 = 581.51/x
  3. Step 3: Cross multiply
    778.34x = 1,074.18 × 581.51
  4. Step 4: Simplify right side
    778.34x = 624,638.13
  5. Step 5: Solve for x
    x = 624,638.13/778.34
  6. Step 6: Final answer
    x = 802.53

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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.