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Finding the Fourth Proportional to 1,056.49, 1,584.47 and 398.32

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Solution

The fourth proportional to 1,056.49, 1,584.47 and 398.32 is: 597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.49 : 1,584.47 = 398.32 : x
  2. Step 2: Convert to fraction form
    1,056.49/1,584.47 = 398.32/x
  3. Step 3: Cross multiply
    1,056.49x = 1,584.47 × 398.32
  4. Step 4: Simplify right side
    1,056.49x = 631,123.13
  5. Step 5: Solve for x
    x = 631,123.13/1,056.49
  6. Step 6: Final answer
    x = 597.38

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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.