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Finding the Fourth Proportional to 673.56, 924.55 and 598.23

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Solution

The fourth proportional to 673.56, 924.55 and 598.23 is: 821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.56 : 924.55 = 598.23 : x
  2. Step 2: Convert to fraction form
    673.56/924.55 = 598.23/x
  3. Step 3: Cross multiply
    673.56x = 924.55 × 598.23
  4. Step 4: Simplify right side
    673.56x = 553,092.05
  5. Step 5: Solve for x
    x = 553,092.05/673.56
  6. Step 6: Final answer
    x = 821.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.