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Finding the Fourth Proportional to 923.57, 1,274.52 and 509.57

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Solution

The fourth proportional to 923.57, 1,274.52 and 509.57 is: 703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.57 : 1,274.52 = 509.57 : x
  2. Step 2: Convert to fraction form
    923.57/1,274.52 = 509.57/x
  3. Step 3: Cross multiply
    923.57x = 1,274.52 × 509.57
  4. Step 4: Simplify right side
    923.57x = 649,457.16
  5. Step 5: Solve for x
    x = 649,457.16/923.57
  6. Step 6: Final answer
    x = 703.20

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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.