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Finding the Fourth Proportional to 1,087.64, 1,633.47 and 568.00

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Solution

The fourth proportional to 1,087.64, 1,633.47 and 568.00 is: 853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.64 : 1,633.47 = 568.00 : x
  2. Step 2: Convert to fraction form
    1,087.64/1,633.47 = 568.00/x
  3. Step 3: Cross multiply
    1,087.64x = 1,633.47 × 568.00
  4. Step 4: Simplify right side
    1,087.64x = 927,802.79
  5. Step 5: Solve for x
    x = 927,802.79/1,087.64
  6. Step 6: Final answer
    x = 853.04

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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.