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Finding the Fourth Proportional to 1,140.98, 1,574.62 and 860.72

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Solution

The fourth proportional to 1,140.98, 1,574.62 and 860.72 is: 1,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.98 : 1,574.62 = 860.72 : x
  2. Step 2: Convert to fraction form
    1,140.98/1,574.62 = 860.72/x
  3. Step 3: Cross multiply
    1,140.98x = 1,574.62 × 860.72
  4. Step 4: Simplify right side
    1,140.98x = 1,355,296.90
  5. Step 5: Solve for x
    x = 1,355,296.90/1,140.98
  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.