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Finding the Fourth Proportional to 1,056.33, 1,584.74 and 316.00

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Solution

The fourth proportional to 1,056.33, 1,584.74 and 316.00 is: 474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.33 : 1,584.74 = 316.00 : x
  2. Step 2: Convert to fraction form
    1,056.33/1,584.74 = 316.00/x
  3. Step 3: Cross multiply
    1,056.33x = 1,584.74 × 316.00
  4. Step 4: Simplify right side
    1,056.33x = 500,777.96
  5. Step 5: Solve for x
    x = 500,777.96/1,056.33
  6. Step 6: Final answer
    x = 474.08

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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.