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Finding the Fourth Proportional to 1,765.82, 2,649.02 and 595.71

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Solution

The fourth proportional to 1,765.82, 2,649.02 and 595.71 is: 893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.82 : 2,649.02 = 595.71 : x
  2. Step 2: Convert to fraction form
    1,765.82/2,649.02 = 595.71/x
  3. Step 3: Cross multiply
    1,765.82x = 2,649.02 × 595.71
  4. Step 4: Simplify right side
    1,765.82x = 1,578,047.70
  5. Step 5: Solve for x
    x = 1,578,047.70/1,765.82
  6. Step 6: Final answer
    x = 893.66

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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.