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Finding the Fourth Proportional to 755.51, 1,041.19 and 589.46

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Solution

The fourth proportional to 755.51, 1,041.19 and 589.46 is: 812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.51 : 1,041.19 = 589.46 : x
  2. Step 2: Convert to fraction form
    755.51/1,041.19 = 589.46/x
  3. Step 3: Cross multiply
    755.51x = 1,041.19 × 589.46
  4. Step 4: Simplify right side
    755.51x = 613,733.18
  5. Step 5: Solve for x
    x = 613,733.18/755.51
  6. Step 6: Final answer
    x = 812.35

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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.