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Finding the Fourth Proportional to 923.61, 1,274.58 and 509.61

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Solution

The fourth proportional to 923.61, 1,274.58 and 509.61 is: 703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.61 : 1,274.58 = 509.61 : x
  2. Step 2: Convert to fraction form
    923.61/1,274.58 = 509.61/x
  3. Step 3: Cross multiply
    923.61x = 1,274.58 × 509.61
  4. Step 4: Simplify right side
    923.61x = 649,538.71
  5. Step 5: Solve for x
    x = 649,538.71/923.61
  6. Step 6: Final answer
    x = 703.26

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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.