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Finding the Fourth Proportional to 1,090.14, 1,505.61 and 740.22

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Solution

The fourth proportional to 1,090.14, 1,505.61 and 740.22 is: 1,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.14 : 1,505.61 = 740.22 : x
  2. Step 2: Convert to fraction form
    1,090.14/1,505.61 = 740.22/x
  3. Step 3: Cross multiply
    1,090.14x = 1,505.61 × 740.22
  4. Step 4: Simplify right side
    1,090.14x = 1,114,482.63
  5. Step 5: Solve for x
    x = 1,114,482.63/1,090.14
  6. Step 6: Final answer
    x = 1,022.33

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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.