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Finding the Fourth Proportional to 953.61, 1,429.44 and 645.50

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Solution

The fourth proportional to 953.61, 1,429.44 and 645.50 is: 967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.61 : 1,429.44 = 645.50 : x
  2. Step 2: Convert to fraction form
    953.61/1,429.44 = 645.50/x
  3. Step 3: Cross multiply
    953.61x = 1,429.44 × 645.50
  4. Step 4: Simplify right side
    953.61x = 922,696.37
  5. Step 5: Solve for x
    x = 922,696.37/953.61
  6. Step 6: Final answer
    x = 967.58

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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.