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Finding the Fourth Proportional to 1,017.50, 1,403.75 and 623.84

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Solution

The fourth proportional to 1,017.50, 1,403.75 and 623.84 is: 860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.50 : 1,403.75 = 623.84 : x
  2. Step 2: Convert to fraction form
    1,017.50/1,403.75 = 623.84/x
  3. Step 3: Cross multiply
    1,017.50x = 1,403.75 × 623.84
  4. Step 4: Simplify right side
    1,017.50x = 875,720.47
  5. Step 5: Solve for x
    x = 875,720.47/1,017.50
  6. Step 6: Final answer
    x = 860.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.