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Finding the Fourth Proportional to 704.20, 1,056.30 and 459.40

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Solution

The fourth proportional to 704.20, 1,056.30 and 459.40 is: 689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.20 : 1,056.30 = 459.40 : x
  2. Step 2: Convert to fraction form
    704.20/1,056.30 = 459.40/x
  3. Step 3: Cross multiply
    704.20x = 1,056.30 × 459.40
  4. Step 4: Simplify right side
    704.20x = 485,264.22
  5. Step 5: Solve for x
    x = 485,264.22/704.20
  6. Step 6: Final answer
    x = 689.10

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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.