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Finding the Fourth Proportional to 1,298.68, 1,946.44 and 927.93

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Solution

The fourth proportional to 1,298.68, 1,946.44 and 927.93 is: 1,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.68 : 1,946.44 = 927.93 : x
  2. Step 2: Convert to fraction form
    1,298.68/1,946.44 = 927.93/x
  3. Step 3: Cross multiply
    1,298.68x = 1,946.44 × 927.93
  4. Step 4: Simplify right side
    1,298.68x = 1,806,160.07
  5. Step 5: Solve for x
    x = 1,806,160.07/1,298.68
  6. Step 6: Final answer
    x = 1,390.77

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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.