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Finding the Fourth Proportional to 1,090.81, 1,505.13 and 618.61

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Solution

The fourth proportional to 1,090.81, 1,505.13 and 618.61 is: 853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.81 : 1,505.13 = 618.61 : x
  2. Step 2: Convert to fraction form
    1,090.81/1,505.13 = 618.61/x
  3. Step 3: Cross multiply
    1,090.81x = 1,505.13 × 618.61
  4. Step 4: Simplify right side
    1,090.81x = 931,088.47
  5. Step 5: Solve for x
    x = 931,088.47/1,090.81
  6. Step 6: Final answer
    x = 853.58

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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.