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Finding the Fourth Proportional to 774.07, 1,068.20 and 424.76

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Solution

The fourth proportional to 774.07, 1,068.20 and 424.76 is: 586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.07 : 1,068.20 = 424.76 : x
  2. Step 2: Convert to fraction form
    774.07/1,068.20 = 424.76/x
  3. Step 3: Cross multiply
    774.07x = 1,068.20 × 424.76
  4. Step 4: Simplify right side
    774.07x = 453,724.35
  5. Step 5: Solve for x
    x = 453,724.35/774.07
  6. Step 6: Final answer
    x = 586.16

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Half scale
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Double scale
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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.