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Finding the Fourth Proportional to 1,985.17, 2,977.70 and 524.33

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Solution

The fourth proportional to 1,985.17, 2,977.70 and 524.33 is: 786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.17 : 2,977.70 = 524.33 : x
  2. Step 2: Convert to fraction form
    1,985.17/2,977.70 = 524.33/x
  3. Step 3: Cross multiply
    1,985.17x = 2,977.70 × 524.33
  4. Step 4: Simplify right side
    1,985.17x = 1,561,310.80
  5. Step 5: Solve for x
    x = 1,561,310.80/1,985.17
  6. Step 6: Final answer
    x = 786.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.