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Finding the Fourth Proportional to 1,364.64, 1,883.21 and 775.37

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Solution

The fourth proportional to 1,364.64, 1,883.21 and 775.37 is: 1,070.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.64 : 1,883.21 = 775.37 : x
  2. Step 2: Convert to fraction form
    1,364.64/1,883.21 = 775.37/x
  3. Step 3: Cross multiply
    1,364.64x = 1,883.21 × 775.37
  4. Step 4: Simplify right side
    1,364.64x = 1,460,171.24
  5. Step 5: Solve for x
    x = 1,460,171.24/1,364.64
  6. Step 6: Final answer
    x = 1,070.00

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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.