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Finding the Fourth Proportional to 1,090.01, 1,504.19 and 592.62

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Solution

The fourth proportional to 1,090.01, 1,504.19 and 592.62 is: 817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.01 : 1,504.19 = 592.62 : x
  2. Step 2: Convert to fraction form
    1,090.01/1,504.19 = 592.62/x
  3. Step 3: Cross multiply
    1,090.01x = 1,504.19 × 592.62
  4. Step 4: Simplify right side
    1,090.01x = 891,410.11
  5. Step 5: Solve for x
    x = 891,410.11/1,090.01
  6. Step 6: Final answer
    x = 817.80

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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.