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Finding the Fourth Proportional to 647.50, 971.60 and 601.01

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Solution

The fourth proportional to 647.50, 971.60 and 601.01 is: 901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.50 : 971.60 = 601.01 : x
  2. Step 2: Convert to fraction form
    647.50/971.60 = 601.01/x
  3. Step 3: Cross multiply
    647.50x = 971.60 × 601.01
  4. Step 4: Simplify right side
    647.50x = 583,940.74
  5. Step 5: Solve for x
    x = 583,940.74/647.50
  6. Step 6: Final answer
    x = 901.84

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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.