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Finding the Fourth Proportional to 932.24, 1,284.69 and 683.64

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Solution

The fourth proportional to 932.24, 1,284.69 and 683.64 is: 942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.24 : 1,284.69 = 683.64 : x
  2. Step 2: Convert to fraction form
    932.24/1,284.69 = 683.64/x
  3. Step 3: Cross multiply
    932.24x = 1,284.69 × 683.64
  4. Step 4: Simplify right side
    932.24x = 878,265.47
  5. Step 5: Solve for x
    x = 878,265.47/932.24
  6. Step 6: Final answer
    x = 942.10

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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.