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Finding the Fourth Proportional to 931.64, 1,283.37 and 784.22

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Solution

The fourth proportional to 931.64, 1,283.37 and 784.22 is: 1,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.64 : 1,283.37 = 784.22 : x
  2. Step 2: Convert to fraction form
    931.64/1,283.37 = 784.22/x
  3. Step 3: Cross multiply
    931.64x = 1,283.37 × 784.22
  4. Step 4: Simplify right side
    931.64x = 1,006,444.42
  5. Step 5: Solve for x
    x = 1,006,444.42/931.64
  6. Step 6: Final answer
    x = 1,080.29

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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.