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Finding the Fourth Proportional to 945.53, 1,303.66 and 608.87

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Solution

The fourth proportional to 945.53, 1,303.66 and 608.87 is: 839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.53 : 1,303.66 = 608.87 : x
  2. Step 2: Convert to fraction form
    945.53/1,303.66 = 608.87/x
  3. Step 3: Cross multiply
    945.53x = 1,303.66 × 608.87
  4. Step 4: Simplify right side
    945.53x = 793,753.71
  5. Step 5: Solve for x
    x = 793,753.71/945.53
  6. Step 6: Final answer
    x = 839.48

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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.