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Finding the Fourth Proportional to 704.50, 1,056.57 and 416.14

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Solution

The fourth proportional to 704.50, 1,056.57 and 416.14 is: 624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.50 : 1,056.57 = 416.14 : x
  2. Step 2: Convert to fraction form
    704.50/1,056.57 = 416.14/x
  3. Step 3: Cross multiply
    704.50x = 1,056.57 × 416.14
  4. Step 4: Simplify right side
    704.50x = 439,681.04
  5. Step 5: Solve for x
    x = 439,681.04/704.50
  6. Step 6: Final answer
    x = 624.10

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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.