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Finding the Fourth Proportional to 983.72, 1,477.69 and 618.77

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Solution

The fourth proportional to 983.72, 1,477.69 and 618.77 is: 929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.72 : 1,477.69 = 618.77 : x
  2. Step 2: Convert to fraction form
    983.72/1,477.69 = 618.77/x
  3. Step 3: Cross multiply
    983.72x = 1,477.69 × 618.77
  4. Step 4: Simplify right side
    983.72x = 914,341.31
  5. Step 5: Solve for x
    x = 914,341.31/983.72
  6. Step 6: Final answer
    x = 929.47

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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.