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Finding the Fourth Proportional to 780.54, 1,075.66 and 559.10

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Solution

The fourth proportional to 780.54, 1,075.66 and 559.10 is: 770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.54 : 1,075.66 = 559.10 : x
  2. Step 2: Convert to fraction form
    780.54/1,075.66 = 559.10/x
  3. Step 3: Cross multiply
    780.54x = 1,075.66 × 559.10
  4. Step 4: Simplify right side
    780.54x = 601,402.80
  5. Step 5: Solve for x
    x = 601,402.80/780.54
  6. Step 6: Final answer
    x = 770.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.