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Finding the Fourth Proportional to 745.02, 1,117.57 and 379.53

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Solution

The fourth proportional to 745.02, 1,117.57 and 379.53 is: 569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.02 : 1,117.57 = 379.53 : x
  2. Step 2: Convert to fraction form
    745.02/1,117.57 = 379.53/x
  3. Step 3: Cross multiply
    745.02x = 1,117.57 × 379.53
  4. Step 4: Simplify right side
    745.02x = 424,151.34
  5. Step 5: Solve for x
    x = 424,151.34/745.02
  6. Step 6: Final answer
    x = 569.32

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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.