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Finding the Fourth Proportional to 1,113.17, 1,536.23 and 665.24

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Solution

The fourth proportional to 1,113.17, 1,536.23 and 665.24 is: 918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.17 : 1,536.23 = 665.24 : x
  2. Step 2: Convert to fraction form
    1,113.17/1,536.23 = 665.24/x
  3. Step 3: Cross multiply
    1,113.17x = 1,536.23 × 665.24
  4. Step 4: Simplify right side
    1,113.17x = 1,021,955.63
  5. Step 5: Solve for x
    x = 1,021,955.63/1,113.17
  6. Step 6: Final answer
    x = 918.06

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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.