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Finding the Fourth Proportional to 952.90, 1,430.08 and 644.02

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Solution

The fourth proportional to 952.90, 1,430.08 and 644.02 is: 966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.90 : 1,430.08 = 644.02 : x
  2. Step 2: Convert to fraction form
    952.90/1,430.08 = 644.02/x
  3. Step 3: Cross multiply
    952.90x = 1,430.08 × 644.02
  4. Step 4: Simplify right side
    952.90x = 921,000.12
  5. Step 5: Solve for x
    x = 921,000.12/952.90
  6. Step 6: Final answer
    x = 966.52

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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.