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Finding the Fourth Proportional to 1,578.35, 2,178.02 and 870.08

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Solution

The fourth proportional to 1,578.35, 2,178.02 and 870.08 is: 1,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.35 : 2,178.02 = 870.08 : x
  2. Step 2: Convert to fraction form
    1,578.35/2,178.02 = 870.08/x
  3. Step 3: Cross multiply
    1,578.35x = 2,178.02 × 870.08
  4. Step 4: Simplify right side
    1,578.35x = 1,895,042.93
  5. Step 5: Solve for x
    x = 1,895,042.93/1,578.35
  6. Step 6: Final answer
    x = 1,200.65

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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.