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Finding the Fourth Proportional to 1,165.61, 1,607.86 and 751.61

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Solution

The fourth proportional to 1,165.61, 1,607.86 and 751.61 is: 1,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.61 : 1,607.86 = 751.61 : x
  2. Step 2: Convert to fraction form
    1,165.61/1,607.86 = 751.61/x
  3. Step 3: Cross multiply
    1,165.61x = 1,607.86 × 751.61
  4. Step 4: Simplify right side
    1,165.61x = 1,208,483.65
  5. Step 5: Solve for x
    x = 1,208,483.65/1,165.61
  6. Step 6: Final answer
    x = 1,036.78

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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.