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Finding the Fourth Proportional to 1,750.28, 2,624.84 and 595.76

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Solution

The fourth proportional to 1,750.28, 2,624.84 and 595.76 is: 893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.28 : 2,624.84 = 595.76 : x
  2. Step 2: Convert to fraction form
    1,750.28/2,624.84 = 595.76/x
  3. Step 3: Cross multiply
    1,750.28x = 2,624.84 × 595.76
  4. Step 4: Simplify right side
    1,750.28x = 1,563,774.68
  5. Step 5: Solve for x
    x = 1,563,774.68/1,750.28
  6. Step 6: Final answer
    x = 893.44

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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.