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Finding the Fourth Proportional to 1,138.30, 1,569.75 and 740.07

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Solution

The fourth proportional to 1,138.30, 1,569.75 and 740.07 is: 1,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.30 : 1,569.75 = 740.07 : x
  2. Step 2: Convert to fraction form
    1,138.30/1,569.75 = 740.07/x
  3. Step 3: Cross multiply
    1,138.30x = 1,569.75 × 740.07
  4. Step 4: Simplify right side
    1,138.30x = 1,161,729.21
  5. Step 5: Solve for x
    x = 1,161,729.21/1,138.30
  6. Step 6: Final answer
    x = 1,020.58

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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.