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Finding the Fourth Proportional to 1,407.80, 1,942.89 and 810.38

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Solution

The fourth proportional to 1,407.80, 1,942.89 and 810.38 is: 1,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.80 : 1,942.89 = 810.38 : x
  2. Step 2: Convert to fraction form
    1,407.80/1,942.89 = 810.38/x
  3. Step 3: Cross multiply
    1,407.80x = 1,942.89 × 810.38
  4. Step 4: Simplify right side
    1,407.80x = 1,574,479.20
  5. Step 5: Solve for x
    x = 1,574,479.20/1,407.80
  6. Step 6: Final answer
    x = 1,118.40

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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.