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Finding the Fourth Proportional to 977.95, 1,349.58 and 604.81

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Solution

The fourth proportional to 977.95, 1,349.58 and 604.81 is: 834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.95 : 1,349.58 = 604.81 : x
  2. Step 2: Convert to fraction form
    977.95/1,349.58 = 604.81/x
  3. Step 3: Cross multiply
    977.95x = 1,349.58 × 604.81
  4. Step 4: Simplify right side
    977.95x = 816,239.48
  5. Step 5: Solve for x
    x = 816,239.48/977.95
  6. Step 6: Final answer
    x = 834.64

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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.