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Finding the Fourth Proportional to 712.58, 1,068.93 and 466.00

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Solution

The fourth proportional to 712.58, 1,068.93 and 466.00 is: 699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.58 : 1,068.93 = 466.00 : x
  2. Step 2: Convert to fraction form
    712.58/1,068.93 = 466.00/x
  3. Step 3: Cross multiply
    712.58x = 1,068.93 × 466.00
  4. Step 4: Simplify right side
    712.58x = 498,118.71
  5. Step 5: Solve for x
    x = 498,118.71/712.58
  6. Step 6: Final answer
    x = 699.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.