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Finding the Fourth Proportional to 758.66, 1,047.02 and 427.07

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Solution

The fourth proportional to 758.66, 1,047.02 and 427.07 is: 589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.66 : 1,047.02 = 427.07 : x
  2. Step 2: Convert to fraction form
    758.66/1,047.02 = 427.07/x
  3. Step 3: Cross multiply
    758.66x = 1,047.02 × 427.07
  4. Step 4: Simplify right side
    758.66x = 447,143.46
  5. Step 5: Solve for x
    x = 447,143.46/758.66
  6. Step 6: Final answer
    x = 589.39

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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.