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Finding the Fourth Proportional to 1,271.65, 1,755.75 and 830.15

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Solution

The fourth proportional to 1,271.65, 1,755.75 and 830.15 is: 1,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.65 : 1,755.75 = 830.15 : x
  2. Step 2: Convert to fraction form
    1,271.65/1,755.75 = 830.15/x
  3. Step 3: Cross multiply
    1,271.65x = 1,755.75 × 830.15
  4. Step 4: Simplify right side
    1,271.65x = 1,457,534.45
  5. Step 5: Solve for x
    x = 1,457,534.45/1,271.65
  6. Step 6: Final answer
    x = 1,146.18

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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.