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Finding the Fourth Proportional to 1,156.02, 1,595.55 and 736.29

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Solution

The fourth proportional to 1,156.02, 1,595.55 and 736.29 is: 1,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.02 : 1,595.55 = 736.29 : x
  2. Step 2: Convert to fraction form
    1,156.02/1,595.55 = 736.29/x
  3. Step 3: Cross multiply
    1,156.02x = 1,595.55 × 736.29
  4. Step 4: Simplify right side
    1,156.02x = 1,174,787.51
  5. Step 5: Solve for x
    x = 1,174,787.51/1,156.02
  6. Step 6: Final answer
    x = 1,016.23

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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.