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Finding the Fourth Proportional to 1,055.04, 1,582.86 and 923.82

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Solution

The fourth proportional to 1,055.04, 1,582.86 and 923.82 is: 1,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.04 : 1,582.86 = 923.82 : x
  2. Step 2: Convert to fraction form
    1,055.04/1,582.86 = 923.82/x
  3. Step 3: Cross multiply
    1,055.04x = 1,582.86 × 923.82
  4. Step 4: Simplify right side
    1,055.04x = 1,462,277.73
  5. Step 5: Solve for x
    x = 1,462,277.73/1,055.04
  6. Step 6: Final answer
    x = 1,385.99

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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.