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Finding the Fourth Proportional to 668.95, 1,004.33 and 647.08

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Solution

The fourth proportional to 668.95, 1,004.33 and 647.08 is: 971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.95 : 1,004.33 = 647.08 : x
  2. Step 2: Convert to fraction form
    668.95/1,004.33 = 647.08/x
  3. Step 3: Cross multiply
    668.95x = 1,004.33 × 647.08
  4. Step 4: Simplify right side
    668.95x = 649,880.96
  5. Step 5: Solve for x
    x = 649,880.96/668.95
  6. Step 6: Final answer
    x = 971.50

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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.