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Finding the Fourth Proportional to 1,088.39, 1,631.71 and 438.50

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Solution

The fourth proportional to 1,088.39, 1,631.71 and 438.50 is: 657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.39 : 1,631.71 = 438.50 : x
  2. Step 2: Convert to fraction form
    1,088.39/1,631.71 = 438.50/x
  3. Step 3: Cross multiply
    1,088.39x = 1,631.71 × 438.50
  4. Step 4: Simplify right side
    1,088.39x = 715,504.84
  5. Step 5: Solve for x
    x = 715,504.84/1,088.39
  6. Step 6: Final answer
    x = 657.40

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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.