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Finding the Fourth Proportional to 1,267.74, 1,749.50 and 708.26

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Solution

The fourth proportional to 1,267.74, 1,749.50 and 708.26 is: 977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.74 : 1,749.50 = 708.26 : x
  2. Step 2: Convert to fraction form
    1,267.74/1,749.50 = 708.26/x
  3. Step 3: Cross multiply
    1,267.74x = 1,749.50 × 708.26
  4. Step 4: Simplify right side
    1,267.74x = 1,239,088.58
  5. Step 5: Solve for x
    x = 1,239,088.58/1,267.74
  6. Step 6: Final answer
    x = 977.40

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1.5x scale

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.