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Finding the Fourth Proportional to 1,364.80, 2,045.64 and 780.10

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Solution

The fourth proportional to 1,364.80, 2,045.64 and 780.10 is: 1,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.80 : 2,045.64 = 780.10 : x
  2. Step 2: Convert to fraction form
    1,364.80/2,045.64 = 780.10/x
  3. Step 3: Cross multiply
    1,364.80x = 2,045.64 × 780.10
  4. Step 4: Simplify right side
    1,364.80x = 1,595,803.76
  5. Step 5: Solve for x
    x = 1,595,803.76/1,364.80
  6. Step 6: Final answer
    x = 1,169.26

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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.