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Finding the Fourth Proportional to 1,588.83, 2,382.86 and 478.01

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Solution

The fourth proportional to 1,588.83, 2,382.86 and 478.01 is: 716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.83 : 2,382.86 = 478.01 : x
  2. Step 2: Convert to fraction form
    1,588.83/2,382.86 = 478.01/x
  3. Step 3: Cross multiply
    1,588.83x = 2,382.86 × 478.01
  4. Step 4: Simplify right side
    1,588.83x = 1,139,038.06
  5. Step 5: Solve for x
    x = 1,139,038.06/1,588.83
  6. Step 6: Final answer
    x = 716.90

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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.