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Finding the Fourth Proportional to 693.91, 957.63 and 432.01

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Solution

The fourth proportional to 693.91, 957.63 and 432.01 is: 596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.91 : 957.63 = 432.01 : x
  2. Step 2: Convert to fraction form
    693.91/957.63 = 432.01/x
  3. Step 3: Cross multiply
    693.91x = 957.63 × 432.01
  4. Step 4: Simplify right side
    693.91x = 413,705.74
  5. Step 5: Solve for x
    x = 413,705.74/693.91
  6. Step 6: Final answer
    x = 596.20

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1.5x scale

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.