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Finding the Fourth Proportional to 1,154.86, 1,727.93 and 708.54

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Solution

The fourth proportional to 1,154.86, 1,727.93 and 708.54 is: 1,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.86 : 1,727.93 = 708.54 : x
  2. Step 2: Convert to fraction form
    1,154.86/1,727.93 = 708.54/x
  3. Step 3: Cross multiply
    1,154.86x = 1,727.93 × 708.54
  4. Step 4: Simplify right side
    1,154.86x = 1,224,307.52
  5. Step 5: Solve for x
    x = 1,224,307.52/1,154.86
  6. Step 6: Final answer
    x = 1,060.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.