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Finding the Fourth Proportional to 1,056.32, 1,584.70 and 407.24

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Solution

The fourth proportional to 1,056.32, 1,584.70 and 407.24 is: 610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.32 : 1,584.70 = 407.24 : x
  2. Step 2: Convert to fraction form
    1,056.32/1,584.70 = 407.24/x
  3. Step 3: Cross multiply
    1,056.32x = 1,584.70 × 407.24
  4. Step 4: Simplify right side
    1,056.32x = 645,353.23
  5. Step 5: Solve for x
    x = 645,353.23/1,056.32
  6. Step 6: Final answer
    x = 610.94

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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.