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Finding the Fourth Proportional to 749.93, 1,035.04 and 469.95

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Solution

The fourth proportional to 749.93, 1,035.04 and 469.95 is: 648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.93 : 1,035.04 = 469.95 : x
  2. Step 2: Convert to fraction form
    749.93/1,035.04 = 469.95/x
  3. Step 3: Cross multiply
    749.93x = 1,035.04 × 469.95
  4. Step 4: Simplify right side
    749.93x = 486,409.52
  5. Step 5: Solve for x
    x = 486,409.52/749.93
  6. Step 6: Final answer
    x = 648.61

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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.