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Finding the Fourth Proportional to 1,117.30, 1,676.24 and 423.98

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Solution

The fourth proportional to 1,117.30, 1,676.24 and 423.98 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.30 : 1,676.24 = 423.98 : x
  2. Step 2: Convert to fraction form
    1,117.30/1,676.24 = 423.98/x
  3. Step 3: Cross multiply
    1,117.30x = 1,676.24 × 423.98
  4. Step 4: Simplify right side
    1,117.30x = 710,692.75
  5. Step 5: Solve for x
    x = 710,692.75/1,117.30
  6. Step 6: Final answer
    x = 636.08

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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.