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Finding the Fourth Proportional to 1,400.05, 1,931.51 and 840.55

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Solution

The fourth proportional to 1,400.05, 1,931.51 and 840.55 is: 1,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.05 : 1,931.51 = 840.55 : x
  2. Step 2: Convert to fraction form
    1,400.05/1,931.51 = 840.55/x
  3. Step 3: Cross multiply
    1,400.05x = 1,931.51 × 840.55
  4. Step 4: Simplify right side
    1,400.05x = 1,623,516.87
  5. Step 5: Solve for x
    x = 1,623,516.87/1,400.05
  6. Step 6: Final answer
    x = 1,159.62

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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.