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Finding the Fourth Proportional to 735.51, 1,014.66 and 469.82

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Solution

The fourth proportional to 735.51, 1,014.66 and 469.82 is: 648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.51 : 1,014.66 = 469.82 : x
  2. Step 2: Convert to fraction form
    735.51/1,014.66 = 469.82/x
  3. Step 3: Cross multiply
    735.51x = 1,014.66 × 469.82
  4. Step 4: Simplify right side
    735.51x = 476,705.71
  5. Step 5: Solve for x
    x = 476,705.71/735.51
  6. Step 6: Final answer
    x = 648.13

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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.