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Finding the Fourth Proportional to 1,049.67, 1,574.64 and 976.77

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Solution

The fourth proportional to 1,049.67, 1,574.64 and 976.77 is: 1,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.67 : 1,574.64 = 976.77 : x
  2. Step 2: Convert to fraction form
    1,049.67/1,574.64 = 976.77/x
  3. Step 3: Cross multiply
    1,049.67x = 1,574.64 × 976.77
  4. Step 4: Simplify right side
    1,049.67x = 1,538,061.11
  5. Step 5: Solve for x
    x = 1,538,061.11/1,049.67
  6. Step 6: Final answer
    x = 1,465.28

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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.