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Finding the Fourth Proportional to 693.68, 957.32 and 473.12

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Solution

The fourth proportional to 693.68, 957.32 and 473.12 is: 652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.68 : 957.32 = 473.12 : x
  2. Step 2: Convert to fraction form
    693.68/957.32 = 473.12/x
  3. Step 3: Cross multiply
    693.68x = 957.32 × 473.12
  4. Step 4: Simplify right side
    693.68x = 452,927.24
  5. Step 5: Solve for x
    x = 452,927.24/693.68
  6. Step 6: Final answer
    x = 652.93

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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.