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Finding the Fourth Proportional to 1,030.45, 1,545.69 and 968.95

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Solution

The fourth proportional to 1,030.45, 1,545.69 and 968.95 is: 1,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.45 : 1,545.69 = 968.95 : x
  2. Step 2: Convert to fraction form
    1,030.45/1,545.69 = 968.95/x
  3. Step 3: Cross multiply
    1,030.45x = 1,545.69 × 968.95
  4. Step 4: Simplify right side
    1,030.45x = 1,497,696.33
  5. Step 5: Solve for x
    x = 1,497,696.33/1,030.45
  6. Step 6: Final answer
    x = 1,453.44

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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.