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Finding the Fourth Proportional to 935.94, 1,296.93 and 914.41

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Solution

The fourth proportional to 935.94, 1,296.93 and 914.41 is: 1,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.94 : 1,296.93 = 914.41 : x
  2. Step 2: Convert to fraction form
    935.94/1,296.93 = 914.41/x
  3. Step 3: Cross multiply
    935.94x = 1,296.93 × 914.41
  4. Step 4: Simplify right side
    935.94x = 1,185,925.76
  5. Step 5: Solve for x
    x = 1,185,925.76/935.94
  6. Step 6: Final answer
    x = 1,267.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.