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Finding the Fourth Proportional to 745.72, 1,029.59 and 666.78

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Solution

The fourth proportional to 745.72, 1,029.59 and 666.78 is: 920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.72 : 1,029.59 = 666.78 : x
  2. Step 2: Convert to fraction form
    745.72/1,029.59 = 666.78/x
  3. Step 3: Cross multiply
    745.72x = 1,029.59 × 666.78
  4. Step 4: Simplify right side
    745.72x = 686,510.02
  5. Step 5: Solve for x
    x = 686,510.02/745.72
  6. Step 6: Final answer
    x = 920.60

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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.