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Finding the Fourth Proportional to 652.51, 900.32 and 592.01

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Solution

The fourth proportional to 652.51, 900.32 and 592.01 is: 816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.51 : 900.32 = 592.01 : x
  2. Step 2: Convert to fraction form
    652.51/900.32 = 592.01/x
  3. Step 3: Cross multiply
    652.51x = 900.32 × 592.01
  4. Step 4: Simplify right side
    652.51x = 532,998.44
  5. Step 5: Solve for x
    x = 532,998.44/652.51
  6. Step 6: Final answer
    x = 816.84

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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.