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Finding the Fourth Proportional to 1,019.04, 1,406.34 and 577.02

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Solution

The fourth proportional to 1,019.04, 1,406.34 and 577.02 is: 796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.04 : 1,406.34 = 577.02 : x
  2. Step 2: Convert to fraction form
    1,019.04/1,406.34 = 577.02/x
  3. Step 3: Cross multiply
    1,019.04x = 1,406.34 × 577.02
  4. Step 4: Simplify right side
    1,019.04x = 811,486.31
  5. Step 5: Solve for x
    x = 811,486.31/1,019.04
  6. Step 6: Final answer
    x = 796.32

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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.