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Finding the Fourth Proportional to 781.36, 1,075.96 and 559.93

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Solution

The fourth proportional to 781.36, 1,075.96 and 559.93 is: 771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.36 : 1,075.96 = 559.93 : x
  2. Step 2: Convert to fraction form
    781.36/1,075.96 = 559.93/x
  3. Step 3: Cross multiply
    781.36x = 1,075.96 × 559.93
  4. Step 4: Simplify right side
    781.36x = 602,459.48
  5. Step 5: Solve for x
    x = 602,459.48/781.36
  6. Step 6: Final answer
    x = 771.04

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Why These Related Problems?

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