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Finding the Fourth Proportional to 774.16, 1,068.36 and 424.87

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Solution

The fourth proportional to 774.16, 1,068.36 and 424.87 is: 586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.16 : 1,068.36 = 424.87 : x
  2. Step 2: Convert to fraction form
    774.16/1,068.36 = 424.87/x
  3. Step 3: Cross multiply
    774.16x = 1,068.36 × 424.87
  4. Step 4: Simplify right side
    774.16x = 453,914.11
  5. Step 5: Solve for x
    x = 453,914.11/774.16
  6. Step 6: Final answer
    x = 586.33

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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.