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Finding the Fourth Proportional to 652.61, 900.66 and 512.98

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Solution

The fourth proportional to 652.61, 900.66 and 512.98 is: 707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.61 : 900.66 = 512.98 : x
  2. Step 2: Convert to fraction form
    652.61/900.66 = 512.98/x
  3. Step 3: Cross multiply
    652.61x = 900.66 × 512.98
  4. Step 4: Simplify right side
    652.61x = 462,020.57
  5. Step 5: Solve for x
    x = 462,020.57/652.61
  6. Step 6: Final answer
    x = 707.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.