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Finding the Fourth Proportional to 1,529.61, 2,110.84 and 830.98

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Solution

The fourth proportional to 1,529.61, 2,110.84 and 830.98 is: 1,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.61 : 2,110.84 = 830.98 : x
  2. Step 2: Convert to fraction form
    1,529.61/2,110.84 = 830.98/x
  3. Step 3: Cross multiply
    1,529.61x = 2,110.84 × 830.98
  4. Step 4: Simplify right side
    1,529.61x = 1,754,065.82
  5. Step 5: Solve for x
    x = 1,754,065.82/1,529.61
  6. Step 6: Final answer
    x = 1,146.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.