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Finding the Fourth Proportional to 908.07, 1,252.47 and 592.83

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Solution

The fourth proportional to 908.07, 1,252.47 and 592.83 is: 817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.07 : 1,252.47 = 592.83 : x
  2. Step 2: Convert to fraction form
    908.07/1,252.47 = 592.83/x
  3. Step 3: Cross multiply
    908.07x = 1,252.47 × 592.83
  4. Step 4: Simplify right side
    908.07x = 742,501.79
  5. Step 5: Solve for x
    x = 742,501.79/908.07
  6. Step 6: Final answer
    x = 817.67

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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.