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Finding the Fourth Proportional to 1,184.09, 1,632.52 and 810.42

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Solution

The fourth proportional to 1,184.09, 1,632.52 and 810.42 is: 1,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.09 : 1,632.52 = 810.42 : x
  2. Step 2: Convert to fraction form
    1,184.09/1,632.52 = 810.42/x
  3. Step 3: Cross multiply
    1,184.09x = 1,632.52 × 810.42
  4. Step 4: Simplify right side
    1,184.09x = 1,323,033.99
  5. Step 5: Solve for x
    x = 1,323,033.99/1,184.09
  6. Step 6: Final answer
    x = 1,117.35

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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.