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Finding the Fourth Proportional to 735.99, 1,016.10 and 470.58

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Solution

The fourth proportional to 735.99, 1,016.10 and 470.58 is: 649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.99 : 1,016.10 = 470.58 : x
  2. Step 2: Convert to fraction form
    735.99/1,016.10 = 470.58/x
  3. Step 3: Cross multiply
    735.99x = 1,016.10 × 470.58
  4. Step 4: Simplify right side
    735.99x = 478,156.34
  5. Step 5: Solve for x
    x = 478,156.34/735.99
  6. Step 6: Final answer
    x = 649.68

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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.