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Finding the Fourth Proportional to 670.70, 926.70 and 596.36

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Solution

The fourth proportional to 670.70, 926.70 and 596.36 is: 823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.70 : 926.70 = 596.36 : x
  2. Step 2: Convert to fraction form
    670.70/926.70 = 596.36/x
  3. Step 3: Cross multiply
    670.70x = 926.70 × 596.36
  4. Step 4: Simplify right side
    670.70x = 552,646.81
  5. Step 5: Solve for x
    x = 552,646.81/670.70
  6. Step 6: Final answer
    x = 823.99

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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.