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Finding the Fourth Proportional to 1,200.69, 1,656.32 and 976.87

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Solution

The fourth proportional to 1,200.69, 1,656.32 and 976.87 is: 1,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.69 : 1,656.32 = 976.87 : x
  2. Step 2: Convert to fraction form
    1,200.69/1,656.32 = 976.87/x
  3. Step 3: Cross multiply
    1,200.69x = 1,656.32 × 976.87
  4. Step 4: Simplify right side
    1,200.69x = 1,618,017.76
  5. Step 5: Solve for x
    x = 1,618,017.76/1,200.69
  6. Step 6: Final answer
    x = 1,347.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.