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Finding the Fourth Proportional to 1,140.26, 1,710.38 and 880.63

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Solution

The fourth proportional to 1,140.26, 1,710.38 and 880.63 is: 1,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.26 : 1,710.38 = 880.63 : x
  2. Step 2: Convert to fraction form
    1,140.26/1,710.38 = 880.63/x
  3. Step 3: Cross multiply
    1,140.26x = 1,710.38 × 880.63
  4. Step 4: Simplify right side
    1,140.26x = 1,506,221.89
  5. Step 5: Solve for x
    x = 1,506,221.89/1,140.26
  6. Step 6: Final answer
    x = 1,320.95

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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.