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Finding the Fourth Proportional to 1,063, 1,594.50 and 293.50

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Solution

The fourth proportional to 1,063, 1,594.50 and 293.50 is: 440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063 : 1,594.50 = 293.50 : x
  2. Step 2: Convert to fraction form
    1,063/1,594.50 = 293.50/x
  3. Step 3: Cross multiply
    1,063x = 1,594.50 × 293.50
  4. Step 4: Simplify right side
    1,063x = 467,985.75
  5. Step 5: Solve for x
    x = 467,985.75/1,063
  6. Step 6: Final answer
    x = 440.25

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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.