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Finding the Fourth Proportional to 1,364.88, 1,883.44 and 775.42

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Solution

The fourth proportional to 1,364.88, 1,883.44 and 775.42 is: 1,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.88 : 1,883.44 = 775.42 : x
  2. Step 2: Convert to fraction form
    1,364.88/1,883.44 = 775.42/x
  3. Step 3: Cross multiply
    1,364.88x = 1,883.44 × 775.42
  4. Step 4: Simplify right side
    1,364.88x = 1,460,457.04
  5. Step 5: Solve for x
    x = 1,460,457.04/1,364.88
  6. Step 6: Final answer
    x = 1,070.03

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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.