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Finding the Fourth Proportional to 1,267.64, 1,749.32 and 708.08

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Solution

The fourth proportional to 1,267.64, 1,749.32 and 708.08 is: 977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.64 : 1,749.32 = 708.08 : x
  2. Step 2: Convert to fraction form
    1,267.64/1,749.32 = 708.08/x
  3. Step 3: Cross multiply
    1,267.64x = 1,749.32 × 708.08
  4. Step 4: Simplify right side
    1,267.64x = 1,238,658.51
  5. Step 5: Solve for x
    x = 1,238,658.51/1,267.64
  6. Step 6: Final answer
    x = 977.14

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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.