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Finding the Fourth Proportional to 745.47, 1,027.62 and 509.02

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Solution

The fourth proportional to 745.47, 1,027.62 and 509.02 is: 701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.47 : 1,027.62 = 509.02 : x
  2. Step 2: Convert to fraction form
    745.47/1,027.62 = 509.02/x
  3. Step 3: Cross multiply
    745.47x = 1,027.62 × 509.02
  4. Step 4: Simplify right side
    745.47x = 523,076.56
  5. Step 5: Solve for x
    x = 523,076.56/745.47
  6. Step 6: Final answer
    x = 701.67

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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.