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Finding the Fourth Proportional to 1,207.41, 1,666.85 and 741.93

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Solution

The fourth proportional to 1,207.41, 1,666.85 and 741.93 is: 1,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.41 : 1,666.85 = 741.93 : x
  2. Step 2: Convert to fraction form
    1,207.41/1,666.85 = 741.93/x
  3. Step 3: Cross multiply
    1,207.41x = 1,666.85 × 741.93
  4. Step 4: Simplify right side
    1,207.41x = 1,236,686.02
  5. Step 5: Solve for x
    x = 1,236,686.02/1,207.41
  6. Step 6: Final answer
    x = 1,024.25

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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.