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Finding the Fourth Proportional to 1,352.81, 1,866.93 and 828.74

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Solution

The fourth proportional to 1,352.81, 1,866.93 and 828.74 is: 1,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.81 : 1,866.93 = 828.74 : x
  2. Step 2: Convert to fraction form
    1,352.81/1,866.93 = 828.74/x
  3. Step 3: Cross multiply
    1,352.81x = 1,866.93 × 828.74
  4. Step 4: Simplify right side
    1,352.81x = 1,547,201.13
  5. Step 5: Solve for x
    x = 1,547,201.13/1,352.81
  6. Step 6: Final answer
    x = 1,143.69

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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.