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Finding the Fourth Proportional to 745.02, 1,117.67 and 420.57

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Solution

The fourth proportional to 745.02, 1,117.67 and 420.57 is: 630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.02 : 1,117.67 = 420.57 : x
  2. Step 2: Convert to fraction form
    745.02/1,117.67 = 420.57/x
  3. Step 3: Cross multiply
    745.02x = 1,117.67 × 420.57
  4. Step 4: Simplify right side
    745.02x = 470,056.37
  5. Step 5: Solve for x
    x = 470,056.37/745.02
  6. Step 6: Final answer
    x = 630.93

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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.