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Finding the Fourth Proportional to 1,087.42, 1,501.08 and 738.32

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Solution

The fourth proportional to 1,087.42, 1,501.08 and 738.32 is: 1,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.42 : 1,501.08 = 738.32 : x
  2. Step 2: Convert to fraction form
    1,087.42/1,501.08 = 738.32/x
  3. Step 3: Cross multiply
    1,087.42x = 1,501.08 × 738.32
  4. Step 4: Simplify right side
    1,087.42x = 1,108,277.39
  5. Step 5: Solve for x
    x = 1,108,277.39/1,087.42
  6. Step 6: Final answer
    x = 1,019.18

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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.