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Finding the Fourth Proportional to 964.86, 1,332.54 and 615.75

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Solution

The fourth proportional to 964.86, 1,332.54 and 615.75 is: 850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.86 : 1,332.54 = 615.75 : x
  2. Step 2: Convert to fraction form
    964.86/1,332.54 = 615.75/x
  3. Step 3: Cross multiply
    964.86x = 1,332.54 × 615.75
  4. Step 4: Simplify right side
    964.86x = 820,511.51
  5. Step 5: Solve for x
    x = 820,511.51/964.86
  6. Step 6: Final answer
    x = 850.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.