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Finding the Fourth Proportional to 682.16, 942.04 and 583.34

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Solution

The fourth proportional to 682.16, 942.04 and 583.34 is: 805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 942.04 = 583.34 : x
  2. Step 2: Convert to fraction form
    682.16/942.04 = 583.34/x
  3. Step 3: Cross multiply
    682.16x = 942.04 × 583.34
  4. Step 4: Simplify right side
    682.16x = 549,529.61
  5. Step 5: Solve for x
    x = 549,529.61/682.16
  6. Step 6: Final answer
    x = 805.57

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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.