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Finding the Fourth Proportional to 1,133.47, 1,697.01 and 860.68

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Solution

The fourth proportional to 1,133.47, 1,697.01 and 860.68 is: 1,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.47 : 1,697.01 = 860.68 : x
  2. Step 2: Convert to fraction form
    1,133.47/1,697.01 = 860.68/x
  3. Step 3: Cross multiply
    1,133.47x = 1,697.01 × 860.68
  4. Step 4: Simplify right side
    1,133.47x = 1,460,582.57
  5. Step 5: Solve for x
    x = 1,460,582.57/1,133.47
  6. Step 6: Final answer
    x = 1,288.59

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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.