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Finding the Fourth Proportional to 704.64, 1,056.32 and 400

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Solution

The fourth proportional to 704.64, 1,056.32 and 400 is: 599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.64 : 1,056.32 = 400 : x
  2. Step 2: Convert to fraction form
    704.64/1,056.32 = 400/x
  3. Step 3: Cross multiply
    704.64x = 1,056.32 × 400
  4. Step 4: Simplify right side
    704.64x = 422,528
  5. Step 5: Solve for x
    x = 422,528/704.64
  6. Step 6: Final answer
    x = 599.64

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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.