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Finding the Fourth Proportional to 693.97, 957.83 and 473

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Solution

The fourth proportional to 693.97, 957.83 and 473 is: 652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.97 : 957.83 = 473 : x
  2. Step 2: Convert to fraction form
    693.97/957.83 = 473/x
  3. Step 3: Cross multiply
    693.97x = 957.83 × 473
  4. Step 4: Simplify right side
    693.97x = 453,051.23
  5. Step 5: Solve for x
    x = 453,051.23/693.97
  6. Step 6: Final answer
    x = 652.84

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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.