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Finding the Fourth Proportional to 1,365.58, 1,884.50 and 776.12

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Solution

The fourth proportional to 1,365.58, 1,884.50 and 776.12 is: 1,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.58 : 1,884.50 = 776.12 : x
  2. Step 2: Convert to fraction form
    1,365.58/1,884.50 = 776.12/x
  3. Step 3: Cross multiply
    1,365.58x = 1,884.50 × 776.12
  4. Step 4: Simplify right side
    1,365.58x = 1,462,598.97
  5. Step 5: Solve for x
    x = 1,462,598.97/1,365.58
  6. Step 6: Final answer
    x = 1,071.04

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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.