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Finding the Fourth Proportional to 967.24, 1,334.58 and 705.40

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Solution

The fourth proportional to 967.24, 1,334.58 and 705.40 is: 973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.24 : 1,334.58 = 705.40 : x
  2. Step 2: Convert to fraction form
    967.24/1,334.58 = 705.40/x
  3. Step 3: Cross multiply
    967.24x = 1,334.58 × 705.40
  4. Step 4: Simplify right side
    967.24x = 941,412.73
  5. Step 5: Solve for x
    x = 941,412.73/967.24
  6. Step 6: Final answer
    x = 973.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.