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Finding the Fourth Proportional to 1,292.16, 1,935.88 and 830.00

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Solution

The fourth proportional to 1,292.16, 1,935.88 and 830.00 is: 1,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.16 : 1,935.88 = 830.00 : x
  2. Step 2: Convert to fraction form
    1,292.16/1,935.88 = 830.00/x
  3. Step 3: Cross multiply
    1,292.16x = 1,935.88 × 830.00
  4. Step 4: Simplify right side
    1,292.16x = 1,606,783.16
  5. Step 5: Solve for x
    x = 1,606,783.16/1,292.16
  6. Step 6: Final answer
    x = 1,243.48

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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.