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Finding the Fourth Proportional to 1,050.81, 1,450.88 and 678.00

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Solution

The fourth proportional to 1,050.81, 1,450.88 and 678.00 is: 936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.81 : 1,450.88 = 678.00 : x
  2. Step 2: Convert to fraction form
    1,050.81/1,450.88 = 678.00/x
  3. Step 3: Cross multiply
    1,050.81x = 1,450.88 × 678.00
  4. Step 4: Simplify right side
    1,050.81x = 983,701.23
  5. Step 5: Solve for x
    x = 983,701.23/1,050.81
  6. Step 6: Final answer
    x = 936.14

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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.