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Finding the Fourth Proportional to 1,068.87, 1,475.01 and 626.75

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Solution

The fourth proportional to 1,068.87, 1,475.01 and 626.75 is: 864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.87 : 1,475.01 = 626.75 : x
  2. Step 2: Convert to fraction form
    1,068.87/1,475.01 = 626.75/x
  3. Step 3: Cross multiply
    1,068.87x = 1,475.01 × 626.75
  4. Step 4: Simplify right side
    1,068.87x = 924,455.14
  5. Step 5: Solve for x
    x = 924,455.14/1,068.87
  6. Step 6: Final answer
    x = 864.89

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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.