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Finding the Fourth Proportional to 774.38, 1,068.54 and 442.76

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Solution

The fourth proportional to 774.38, 1,068.54 and 442.76 is: 610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.38 : 1,068.54 = 442.76 : x
  2. Step 2: Convert to fraction form
    774.38/1,068.54 = 442.76/x
  3. Step 3: Cross multiply
    774.38x = 1,068.54 × 442.76
  4. Step 4: Simplify right side
    774.38x = 473,106.77
  5. Step 5: Solve for x
    x = 473,106.77/774.38
  6. Step 6: Final answer
    x = 610.95

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1.5x scale

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.