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Finding the Fourth Proportional to 964.93, 1,447.06 and 315.50

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Solution

The fourth proportional to 964.93, 1,447.06 and 315.50 is: 473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.93 : 1,447.06 = 315.50 : x
  2. Step 2: Convert to fraction form
    964.93/1,447.06 = 315.50/x
  3. Step 3: Cross multiply
    964.93x = 1,447.06 × 315.50
  4. Step 4: Simplify right side
    964.93x = 456,547.43
  5. Step 5: Solve for x
    x = 456,547.43/964.93
  6. Step 6: Final answer
    x = 473.14

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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.