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Finding the Fourth Proportional to 648.00, 970.12 and 581.23

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Solution

The fourth proportional to 648.00, 970.12 and 581.23 is: 870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.00 : 970.12 = 581.23 : x
  2. Step 2: Convert to fraction form
    648.00/970.12 = 581.23/x
  3. Step 3: Cross multiply
    648.00x = 970.12 × 581.23
  4. Step 4: Simplify right side
    648.00x = 563,858.00
  5. Step 5: Solve for x
    x = 563,858.00/648.00
  6. Step 6: Final answer
    x = 870.16

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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.