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Finding the Fourth Proportional to 756.16, 1,133.08 and 573.40

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Solution

The fourth proportional to 756.16, 1,133.08 and 573.40 is: 859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.16 : 1,133.08 = 573.40 : x
  2. Step 2: Convert to fraction form
    756.16/1,133.08 = 573.40/x
  3. Step 3: Cross multiply
    756.16x = 1,133.08 × 573.40
  4. Step 4: Simplify right side
    756.16x = 649,708.07
  5. Step 5: Solve for x
    x = 649,708.07/756.16
  6. Step 6: Final answer
    x = 859.22

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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.