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Finding the Fourth Proportional to 864.98, 1,194.48 and 555.02

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Solution

The fourth proportional to 864.98, 1,194.48 and 555.02 is: 766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.98 : 1,194.48 = 555.02 : x
  2. Step 2: Convert to fraction form
    864.98/1,194.48 = 555.02/x
  3. Step 3: Cross multiply
    864.98x = 1,194.48 × 555.02
  4. Step 4: Simplify right side
    864.98x = 662,960.29
  5. Step 5: Solve for x
    x = 662,960.29/864.98
  6. Step 6: Final answer
    x = 766.45

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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.