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Finding the Fourth Proportional to 1,146.73, 1,719.78 and 530.73

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Solution

The fourth proportional to 1,146.73, 1,719.78 and 530.73 is: 795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.73 : 1,719.78 = 530.73 : x
  2. Step 2: Convert to fraction form
    1,146.73/1,719.78 = 530.73/x
  3. Step 3: Cross multiply
    1,146.73x = 1,719.78 × 530.73
  4. Step 4: Simplify right side
    1,146.73x = 912,738.84
  5. Step 5: Solve for x
    x = 912,738.84/1,146.73
  6. Step 6: Final answer
    x = 795.95

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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.