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Finding the Fourth Proportional to 779.76, 1,075.94 and 527.80

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Solution

The fourth proportional to 779.76, 1,075.94 and 527.80 is: 728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.76 : 1,075.94 = 527.80 : x
  2. Step 2: Convert to fraction form
    779.76/1,075.94 = 527.80/x
  3. Step 3: Cross multiply
    779.76x = 1,075.94 × 527.80
  4. Step 4: Simplify right side
    779.76x = 567,881.13
  5. Step 5: Solve for x
    x = 567,881.13/779.76
  6. Step 6: Final answer
    x = 728.28

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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.