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Finding the Fourth Proportional to 774.32, 1,068.53 and 425.00

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Solution

The fourth proportional to 774.32, 1,068.53 and 425.00 is: 586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.32 : 1,068.53 = 425.00 : x
  2. Step 2: Convert to fraction form
    774.32/1,068.53 = 425.00/x
  3. Step 3: Cross multiply
    774.32x = 1,068.53 × 425.00
  4. Step 4: Simplify right side
    774.32x = 454,117.78
  5. Step 5: Solve for x
    x = 454,117.78/774.32
  6. Step 6: Final answer
    x = 586.48

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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.