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Finding the Fourth Proportional to 1,248, 1,871.16 and 598.38

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Solution

The fourth proportional to 1,248, 1,871.16 and 598.38 is: 897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248 : 1,871.16 = 598.38 : x
  2. Step 2: Convert to fraction form
    1,248/1,871.16 = 598.38/x
  3. Step 3: Cross multiply
    1,248x = 1,871.16 × 598.38
  4. Step 4: Simplify right side
    1,248x = 1,119,664.72
  5. Step 5: Solve for x
    x = 1,119,664.72/1,248
  6. Step 6: Final answer
    x = 897.17

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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.