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Finding the Fourth Proportional to 1,365.40, 1,883.94 and 775.88

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Solution

The fourth proportional to 1,365.40, 1,883.94 and 775.88 is: 1,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.40 : 1,883.94 = 775.88 : x
  2. Step 2: Convert to fraction form
    1,365.40/1,883.94 = 775.88/x
  3. Step 3: Cross multiply
    1,365.40x = 1,883.94 × 775.88
  4. Step 4: Simplify right side
    1,365.40x = 1,461,711.37
  5. Step 5: Solve for x
    x = 1,461,711.37/1,365.40
  6. Step 6: Final answer
    x = 1,070.54

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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.