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Finding the Fourth Proportional to 1,135.16, 1,701.67 and 442.28

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Solution

The fourth proportional to 1,135.16, 1,701.67 and 442.28 is: 663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.16 : 1,701.67 = 442.28 : x
  2. Step 2: Convert to fraction form
    1,135.16/1,701.67 = 442.28/x
  3. Step 3: Cross multiply
    1,135.16x = 1,701.67 × 442.28
  4. Step 4: Simplify right side
    1,135.16x = 752,614.61
  5. Step 5: Solve for x
    x = 752,614.61/1,135.16
  6. Step 6: Final answer
    x = 663.00

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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.