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Finding the Fourth Proportional to 923.59, 1,271.64 and 783.42

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Solution

The fourth proportional to 923.59, 1,271.64 and 783.42 is: 1,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.59 : 1,271.64 = 783.42 : x
  2. Step 2: Convert to fraction form
    923.59/1,271.64 = 783.42/x
  3. Step 3: Cross multiply
    923.59x = 1,271.64 × 783.42
  4. Step 4: Simplify right side
    923.59x = 996,228.21
  5. Step 5: Solve for x
    x = 996,228.21/923.59
  6. Step 6: Final answer
    x = 1,078.65

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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.