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Finding the Fourth Proportional to 1,156.07, 1,725.15 and 1,033.01

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Solution

The fourth proportional to 1,156.07, 1,725.15 and 1,033.01 is: 1,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.07 : 1,725.15 = 1,033.01 : x
  2. Step 2: Convert to fraction form
    1,156.07/1,725.15 = 1,033.01/x
  3. Step 3: Cross multiply
    1,156.07x = 1,725.15 × 1,033.01
  4. Step 4: Simplify right side
    1,156.07x = 1,782,097.20
  5. Step 5: Solve for x
    x = 1,782,097.20/1,156.07
  6. Step 6: Final answer
    x = 1,541.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.