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Finding the Fourth Proportional to 1,164.95, 1,746.97 and 579.76

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Solution

The fourth proportional to 1,164.95, 1,746.97 and 579.76 is: 869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.95 : 1,746.97 = 579.76 : x
  2. Step 2: Convert to fraction form
    1,164.95/1,746.97 = 579.76/x
  3. Step 3: Cross multiply
    1,164.95x = 1,746.97 × 579.76
  4. Step 4: Simplify right side
    1,164.95x = 1,012,817.51
  5. Step 5: Solve for x
    x = 1,012,817.51/1,164.95
  6. Step 6: Final answer
    x = 869.41

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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.