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Finding the Fourth Proportional to 756.07, 1,132.57 and 693.07

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Solution

The fourth proportional to 756.07, 1,132.57 and 693.07 is: 1,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.07 : 1,132.57 = 693.07 : x
  2. Step 2: Convert to fraction form
    756.07/1,132.57 = 693.07/x
  3. Step 3: Cross multiply
    756.07x = 1,132.57 × 693.07
  4. Step 4: Simplify right side
    756.07x = 784,950.29
  5. Step 5: Solve for x
    x = 784,950.29/756.07
  6. Step 6: Final answer
    x = 1,038.20

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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.