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Finding the Fourth Proportional to 699.69, 965.36 and 500.58

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Solution

The fourth proportional to 699.69, 965.36 and 500.58 is: 690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.69 : 965.36 = 500.58 : x
  2. Step 2: Convert to fraction form
    699.69/965.36 = 500.58/x
  3. Step 3: Cross multiply
    699.69x = 965.36 × 500.58
  4. Step 4: Simplify right side
    699.69x = 483,237.41
  5. Step 5: Solve for x
    x = 483,237.41/699.69
  6. Step 6: Final answer
    x = 690.65

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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.