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Finding the Fourth Proportional to 676.23, 1,011.54 and 618.02

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Solution

The fourth proportional to 676.23, 1,011.54 and 618.02 is: 924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.23 : 1,011.54 = 618.02 : x
  2. Step 2: Convert to fraction form
    676.23/1,011.54 = 618.02/x
  3. Step 3: Cross multiply
    676.23x = 1,011.54 × 618.02
  4. Step 4: Simplify right side
    676.23x = 625,151.95
  5. Step 5: Solve for x
    x = 625,151.95/676.23
  6. Step 6: Final answer
    x = 924.47

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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.