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Finding the Fourth Proportional to 1,207.12, 1,810.26 and 466.93

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Solution

The fourth proportional to 1,207.12, 1,810.26 and 466.93 is: 700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.12 : 1,810.26 = 466.93 : x
  2. Step 2: Convert to fraction form
    1,207.12/1,810.26 = 466.93/x
  3. Step 3: Cross multiply
    1,207.12x = 1,810.26 × 466.93
  4. Step 4: Simplify right side
    1,207.12x = 845,264.70
  5. Step 5: Solve for x
    x = 845,264.70/1,207.12
  6. Step 6: Final answer
    x = 700.23

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