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Finding the Fourth Proportional to 1,492.03, 2,058.93 and 828.93

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Solution

The fourth proportional to 1,492.03, 2,058.93 and 828.93 is: 1,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.03 : 2,058.93 = 828.93 : x
  2. Step 2: Convert to fraction form
    1,492.03/2,058.93 = 828.93/x
  3. Step 3: Cross multiply
    1,492.03x = 2,058.93 × 828.93
  4. Step 4: Simplify right side
    1,492.03x = 1,706,708.84
  5. Step 5: Solve for x
    x = 1,706,708.84/1,492.03
  6. Step 6: Final answer
    x = 1,143.88

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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.