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Finding the Fourth Proportional to 1,010.30, 1,515.75 and 462.47

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Solution

The fourth proportional to 1,010.30, 1,515.75 and 462.47 is: 693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.30 : 1,515.75 = 462.47 : x
  2. Step 2: Convert to fraction form
    1,010.30/1,515.75 = 462.47/x
  3. Step 3: Cross multiply
    1,010.30x = 1,515.75 × 462.47
  4. Step 4: Simplify right side
    1,010.30x = 700,986.59
  5. Step 5: Solve for x
    x = 700,986.59/1,010.30
  6. Step 6: Final answer
    x = 693.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.