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Finding the Fourth Proportional to 1,302.05, 1,953.50 and 936.53

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Solution

The fourth proportional to 1,302.05, 1,953.50 and 936.53 is: 1,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.05 : 1,953.50 = 936.53 : x
  2. Step 2: Convert to fraction form
    1,302.05/1,953.50 = 936.53/x
  3. Step 3: Cross multiply
    1,302.05x = 1,953.50 × 936.53
  4. Step 4: Simplify right side
    1,302.05x = 1,829,511.36
  5. Step 5: Solve for x
    x = 1,829,511.36/1,302.05
  6. Step 6: Final answer
    x = 1,405.10

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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.