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Finding the Fourth Proportional to 1,588.71, 2,382.18 and 808.23

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Solution

The fourth proportional to 1,588.71, 2,382.18 and 808.23 is: 1,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.71 : 2,382.18 = 808.23 : x
  2. Step 2: Convert to fraction form
    1,588.71/2,382.18 = 808.23/x
  3. Step 3: Cross multiply
    1,588.71x = 2,382.18 × 808.23
  4. Step 4: Simplify right side
    1,588.71x = 1,925,349.34
  5. Step 5: Solve for x
    x = 1,925,349.34/1,588.71
  6. Step 6: Final answer
    x = 1,211.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.