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Finding the Fourth Proportional to 1,140.04, 1,706.14 and 833.86

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Solution

The fourth proportional to 1,140.04, 1,706.14 and 833.86 is: 1,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.04 : 1,706.14 = 833.86 : x
  2. Step 2: Convert to fraction form
    1,140.04/1,706.14 = 833.86/x
  3. Step 3: Cross multiply
    1,140.04x = 1,706.14 × 833.86
  4. Step 4: Simplify right side
    1,140.04x = 1,422,681.90
  5. Step 5: Solve for x
    x = 1,422,681.90/1,140.04
  6. Step 6: Final answer
    x = 1,247.92

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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.