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Finding the Fourth Proportional to 1,068.61, 1,475.01 and 694.93

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Solution

The fourth proportional to 1,068.61, 1,475.01 and 694.93 is: 959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.61 : 1,475.01 = 694.93 : x
  2. Step 2: Convert to fraction form
    1,068.61/1,475.01 = 694.93/x
  3. Step 3: Cross multiply
    1,068.61x = 1,475.01 × 694.93
  4. Step 4: Simplify right side
    1,068.61x = 1,025,028.70
  5. Step 5: Solve for x
    x = 1,025,028.70/1,068.61
  6. Step 6: Final answer
    x = 959.22

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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.