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Finding the Fourth Proportional to 595.51, 892.45 and 524.23

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Solution

The fourth proportional to 595.51, 892.45 and 524.23 is: 785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.51 : 892.45 = 524.23 : x
  2. Step 2: Convert to fraction form
    595.51/892.45 = 524.23/x
  3. Step 3: Cross multiply
    595.51x = 892.45 × 524.23
  4. Step 4: Simplify right side
    595.51x = 467,849.06
  5. Step 5: Solve for x
    x = 467,849.06/595.51
  6. Step 6: Final answer
    x = 785.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.