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Finding the Fourth Proportional to 963.04, 1,444.16 and 670.42

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Solution

The fourth proportional to 963.04, 1,444.16 and 670.42 is: 1,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.04 : 1,444.16 = 670.42 : x
  2. Step 2: Convert to fraction form
    963.04/1,444.16 = 670.42/x
  3. Step 3: Cross multiply
    963.04x = 1,444.16 × 670.42
  4. Step 4: Simplify right side
    963.04x = 968,193.75
  5. Step 5: Solve for x
    x = 968,193.75/963.04
  6. Step 6: Final answer
    x = 1,005.35

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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.