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Finding the Fourth Proportional to 1,088.90, 1,502.64 and 623.14

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Solution

The fourth proportional to 1,088.90, 1,502.64 and 623.14 is: 859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.90 : 1,502.64 = 623.14 : x
  2. Step 2: Convert to fraction form
    1,088.90/1,502.64 = 623.14/x
  3. Step 3: Cross multiply
    1,088.90x = 1,502.64 × 623.14
  4. Step 4: Simplify right side
    1,088.90x = 936,355.09
  5. Step 5: Solve for x
    x = 936,355.09/1,088.90
  6. Step 6: Final answer
    x = 859.91

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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.