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Finding the Fourth Proportional to 1,305.54, 1,957.68 and 689.94

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Solution

The fourth proportional to 1,305.54, 1,957.68 and 689.94 is: 1,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.54 : 1,957.68 = 689.94 : x
  2. Step 2: Convert to fraction form
    1,305.54/1,957.68 = 689.94/x
  3. Step 3: Cross multiply
    1,305.54x = 1,957.68 × 689.94
  4. Step 4: Simplify right side
    1,305.54x = 1,350,681.74
  5. Step 5: Solve for x
    x = 1,350,681.74/1,305.54
  6. Step 6: Final answer
    x = 1,034.58

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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.