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Finding the Fourth Proportional to 1,365.24, 1,884.04 and 775.81

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Solution

The fourth proportional to 1,365.24, 1,884.04 and 775.81 is: 1,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.24 : 1,884.04 = 775.81 : x
  2. Step 2: Convert to fraction form
    1,365.24/1,884.04 = 775.81/x
  3. Step 3: Cross multiply
    1,365.24x = 1,884.04 × 775.81
  4. Step 4: Simplify right side
    1,365.24x = 1,461,650.42
  5. Step 5: Solve for x
    x = 1,461,650.42/1,365.24
  6. Step 6: Final answer
    x = 1,070.62

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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.