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Finding the Fourth Proportional to 1,365.70, 1,884.66 and 776.24

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Solution

The fourth proportional to 1,365.70, 1,884.66 and 776.24 is: 1,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.70 : 1,884.66 = 776.24 : x
  2. Step 2: Convert to fraction form
    1,365.70/1,884.66 = 776.24/x
  3. Step 3: Cross multiply
    1,365.70x = 1,884.66 × 776.24
  4. Step 4: Simplify right side
    1,365.70x = 1,462,948.48
  5. Step 5: Solve for x
    x = 1,462,948.48/1,365.70
  6. Step 6: Final answer
    x = 1,071.21

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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.