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Finding the Fourth Proportional to 1,023.79, 1,412.58 and 598.34

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Solution

The fourth proportional to 1,023.79, 1,412.58 and 598.34 is: 825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.79 : 1,412.58 = 598.34 : x
  2. Step 2: Convert to fraction form
    1,023.79/1,412.58 = 598.34/x
  3. Step 3: Cross multiply
    1,023.79x = 1,412.58 × 598.34
  4. Step 4: Simplify right side
    1,023.79x = 845,203.12
  5. Step 5: Solve for x
    x = 845,203.12/1,023.79
  6. Step 6: Final answer
    x = 825.56

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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.