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Finding the Fourth Proportional to 1,114.03, 1,536.28 and 735.24

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Solution

The fourth proportional to 1,114.03, 1,536.28 and 735.24 is: 1,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.03 : 1,536.28 = 735.24 : x
  2. Step 2: Convert to fraction form
    1,114.03/1,536.28 = 735.24/x
  3. Step 3: Cross multiply
    1,114.03x = 1,536.28 × 735.24
  4. Step 4: Simplify right side
    1,114.03x = 1,129,534.51
  5. Step 5: Solve for x
    x = 1,129,534.51/1,114.03
  6. Step 6: Final answer
    x = 1,013.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.