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Finding the Fourth Proportional to 779.46, 1,075.66 and 425.40

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Solution

The fourth proportional to 779.46, 1,075.66 and 425.40 is: 587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.46 : 1,075.66 = 425.40 : x
  2. Step 2: Convert to fraction form
    779.46/1,075.66 = 425.40/x
  3. Step 3: Cross multiply
    779.46x = 1,075.66 × 425.40
  4. Step 4: Simplify right side
    779.46x = 457,585.76
  5. Step 5: Solve for x
    x = 457,585.76/779.46
  6. Step 6: Final answer
    x = 587.05

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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.