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Finding the Fourth Proportional to 1,154.07, 1,737.27 and 1,035

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Solution

The fourth proportional to 1,154.07, 1,737.27 and 1,035 is: 1,558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.07 : 1,737.27 = 1,035 : x
  2. Step 2: Convert to fraction form
    1,154.07/1,737.27 = 1,035/x
  3. Step 3: Cross multiply
    1,154.07x = 1,737.27 × 1,035
  4. Step 4: Simplify right side
    1,154.07x = 1,798,074.45
  5. Step 5: Solve for x
    x = 1,798,074.45/1,154.07
  6. Step 6: Final answer
    x = 1,558.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.