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Finding the Fourth Proportional to 1,326.50, 1,830.57 and 860.75

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Solution

The fourth proportional to 1,326.50, 1,830.57 and 860.75 is: 1,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.50 : 1,830.57 = 860.75 : x
  2. Step 2: Convert to fraction form
    1,326.50/1,830.57 = 860.75/x
  3. Step 3: Cross multiply
    1,326.50x = 1,830.57 × 860.75
  4. Step 4: Simplify right side
    1,326.50x = 1,575,663.13
  5. Step 5: Solve for x
    x = 1,575,663.13/1,326.50
  6. Step 6: Final answer
    x = 1,187.84

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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.