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Finding the Fourth Proportional to 693.74, 957.64 and 472.91

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Solution

The fourth proportional to 693.74, 957.64 and 472.91 is: 652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.74 : 957.64 = 472.91 : x
  2. Step 2: Convert to fraction form
    693.74/957.64 = 472.91/x
  3. Step 3: Cross multiply
    693.74x = 957.64 × 472.91
  4. Step 4: Simplify right side
    693.74x = 452,875.17
  5. Step 5: Solve for x
    x = 452,875.17/693.74
  6. Step 6: Final answer
    x = 652.81

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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.