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Finding the Fourth Proportional to 923.07, 1,273.10 and 643.74

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Solution

The fourth proportional to 923.07, 1,273.10 and 643.74 is: 887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.07 : 1,273.10 = 643.74 : x
  2. Step 2: Convert to fraction form
    923.07/1,273.10 = 643.74/x
  3. Step 3: Cross multiply
    923.07x = 1,273.10 × 643.74
  4. Step 4: Simplify right side
    923.07x = 819,547.00
  5. Step 5: Solve for x
    x = 819,547.00/923.07
  6. Step 6: Final answer
    x = 887.85

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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.