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Finding the Fourth Proportional to 1,588.35, 2,191.95 and 870.57

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Solution

The fourth proportional to 1,588.35, 2,191.95 and 870.57 is: 1,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.35 : 2,191.95 = 870.57 : x
  2. Step 2: Convert to fraction form
    1,588.35/2,191.95 = 870.57/x
  3. Step 3: Cross multiply
    1,588.35x = 2,191.95 × 870.57
  4. Step 4: Simplify right side
    1,588.35x = 1,908,245.91
  5. Step 5: Solve for x
    x = 1,908,245.91/1,588.35
  6. Step 6: Final answer
    x = 1,201.40

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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.