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Finding the Fourth Proportional to 648.60, 972.69 and 571.65

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Solution

The fourth proportional to 648.60, 972.69 and 571.65 is: 857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.60 : 972.69 = 571.65 : x
  2. Step 2: Convert to fraction form
    648.60/972.69 = 571.65/x
  3. Step 3: Cross multiply
    648.60x = 972.69 × 571.65
  4. Step 4: Simplify right side
    648.60x = 556,038.24
  5. Step 5: Solve for x
    x = 556,038.24/648.60
  6. Step 6: Final answer
    x = 857.29

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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.