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Finding the Fourth Proportional to 962.50, 1,443.84 and 313.06

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Solution

The fourth proportional to 962.50, 1,443.84 and 313.06 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.50 : 1,443.84 = 313.06 : x
  2. Step 2: Convert to fraction form
    962.50/1,443.84 = 313.06/x
  3. Step 3: Cross multiply
    962.50x = 1,443.84 × 313.06
  4. Step 4: Simplify right side
    962.50x = 452,008.55
  5. Step 5: Solve for x
    x = 452,008.55/962.50
  6. Step 6: Final answer
    x = 469.62

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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.