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Finding the Fourth Proportional to 1,066.13, 1,598.88 and 539.27

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Solution

The fourth proportional to 1,066.13, 1,598.88 and 539.27 is: 808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.13 : 1,598.88 = 539.27 : x
  2. Step 2: Convert to fraction form
    1,066.13/1,598.88 = 539.27/x
  3. Step 3: Cross multiply
    1,066.13x = 1,598.88 × 539.27
  4. Step 4: Simplify right side
    1,066.13x = 862,220.02
  5. Step 5: Solve for x
    x = 862,220.02/1,066.13
  6. Step 6: Final answer
    x = 808.74

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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.