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Finding the Fourth Proportional to 756.16, 1,133.76 and 431.36

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Solution

The fourth proportional to 756.16, 1,133.76 and 431.36 is: 646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.16 : 1,133.76 = 431.36 : x
  2. Step 2: Convert to fraction form
    756.16/1,133.76 = 431.36/x
  3. Step 3: Cross multiply
    756.16x = 1,133.76 × 431.36
  4. Step 4: Simplify right side
    756.16x = 489,058.71
  5. Step 5: Solve for x
    x = 489,058.71/756.16
  6. Step 6: Final answer
    x = 646.77

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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.