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Finding the Fourth Proportional to 693.60, 973.20 and 693.60

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Solution

The fourth proportional to 693.60, 973.20 and 693.60 is: 973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.60 : 973.20 = 693.60 : x
  2. Step 2: Convert to fraction form
    693.60/973.20 = 693.60/x
  3. Step 3: Cross multiply
    693.60x = 973.20 × 693.60
  4. Step 4: Simplify right side
    693.60x = 675,011.52
  5. Step 5: Solve for x
    x = 675,011.52/693.60
  6. Step 6: Final answer
    x = 973.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.