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Finding the Fourth Proportional to 798.36, 1,101.78 and 462.30

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Solution

The fourth proportional to 798.36, 1,101.78 and 462.30 is: 638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.36 : 1,101.78 = 462.30 : x
  2. Step 2: Convert to fraction form
    798.36/1,101.78 = 462.30/x
  3. Step 3: Cross multiply
    798.36x = 1,101.78 × 462.30
  4. Step 4: Simplify right side
    798.36x = 509,352.89
  5. Step 5: Solve for x
    x = 509,352.89/798.36
  6. Step 6: Final answer
    x = 638.00

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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.