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Finding the Fourth Proportional to 756.10, 1,041.56 and 657.69

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Solution

The fourth proportional to 756.10, 1,041.56 and 657.69 is: 906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.10 : 1,041.56 = 657.69 : x
  2. Step 2: Convert to fraction form
    756.10/1,041.56 = 657.69/x
  3. Step 3: Cross multiply
    756.10x = 1,041.56 × 657.69
  4. Step 4: Simplify right side
    756.10x = 685,023.60
  5. Step 5: Solve for x
    x = 685,023.60/756.10
  6. Step 6: Final answer
    x = 906.00

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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.