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Finding the Fourth Proportional to 763.64, 1,144.63 and 373.07

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Solution

The fourth proportional to 763.64, 1,144.63 and 373.07 is: 559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.64 : 1,144.63 = 373.07 : x
  2. Step 2: Convert to fraction form
    763.64/1,144.63 = 373.07/x
  3. Step 3: Cross multiply
    763.64x = 1,144.63 × 373.07
  4. Step 4: Simplify right side
    763.64x = 427,030.44
  5. Step 5: Solve for x
    x = 427,030.44/763.64
  6. Step 6: Final answer
    x = 559.20

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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.