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Finding the Fourth Proportional to 756.30, 1,133.64 and 448.10

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Solution

The fourth proportional to 756.30, 1,133.64 and 448.10 is: 671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.30 : 1,133.64 = 448.10 : x
  2. Step 2: Convert to fraction form
    756.30/1,133.64 = 448.10/x
  3. Step 3: Cross multiply
    756.30x = 1,133.64 × 448.10
  4. Step 4: Simplify right side
    756.30x = 507,984.08
  5. Step 5: Solve for x
    x = 507,984.08/756.30
  6. Step 6: Final answer
    x = 671.67

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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.