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Finding the Fourth Proportional to 1,117.01, 1,676.12 and 387.20

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Solution

The fourth proportional to 1,117.01, 1,676.12 and 387.20 is: 581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.01 : 1,676.12 = 387.20 : x
  2. Step 2: Convert to fraction form
    1,117.01/1,676.12 = 387.20/x
  3. Step 3: Cross multiply
    1,117.01x = 1,676.12 × 387.20
  4. Step 4: Simplify right side
    1,117.01x = 648,983.35
  5. Step 5: Solve for x
    x = 648,983.35/1,117.01
  6. Step 6: Final answer
    x = 581.00

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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.