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Finding the Fourth Proportional to 945.52, 1,303.63 and 608.83

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Solution

The fourth proportional to 945.52, 1,303.63 and 608.83 is: 839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.52 : 1,303.63 = 608.83 : x
  2. Step 2: Convert to fraction form
    945.52/1,303.63 = 608.83/x
  3. Step 3: Cross multiply
    945.52x = 1,303.63 × 608.83
  4. Step 4: Simplify right side
    945.52x = 793,689.05
  5. Step 5: Solve for x
    x = 793,689.05/945.52
  6. Step 6: Final answer
    x = 839.42

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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.