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Finding the Fourth Proportional to 745.09, 1,116.01 and 528.01

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Solution

The fourth proportional to 745.09, 1,116.01 and 528.01 is: 790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.09 : 1,116.01 = 528.01 : x
  2. Step 2: Convert to fraction form
    745.09/1,116.01 = 528.01/x
  3. Step 3: Cross multiply
    745.09x = 1,116.01 × 528.01
  4. Step 4: Simplify right side
    745.09x = 589,264.44
  5. Step 5: Solve for x
    x = 589,264.44/745.09
  6. Step 6: Final answer
    x = 790.86

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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.