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Finding the Fourth Proportional to 1,056.02, 1,584.59 and 708.50

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Solution

The fourth proportional to 1,056.02, 1,584.59 and 708.50 is: 1,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.02 : 1,584.59 = 708.50 : x
  2. Step 2: Convert to fraction form
    1,056.02/1,584.59 = 708.50/x
  3. Step 3: Cross multiply
    1,056.02x = 1,584.59 × 708.50
  4. Step 4: Simplify right side
    1,056.02x = 1,122,682.02
  5. Step 5: Solve for x
    x = 1,122,682.02/1,056.02
  6. Step 6: Final answer
    x = 1,063.13

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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.