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Finding the Fourth Proportional to 866.64, 1,299.93 and 289.50

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Solution

The fourth proportional to 866.64, 1,299.93 and 289.50 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.64 : 1,299.93 = 289.50 : x
  2. Step 2: Convert to fraction form
    866.64/1,299.93 = 289.50/x
  3. Step 3: Cross multiply
    866.64x = 1,299.93 × 289.50
  4. Step 4: Simplify right side
    866.64x = 376,329.74
  5. Step 5: Solve for x
    x = 376,329.74/866.64
  6. Step 6: Final answer
    x = 434.24

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1.5x scale

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.