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Finding the Fourth Proportional to 924.95, 1,276.08 and 593.57

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Solution

The fourth proportional to 924.95, 1,276.08 and 593.57 is: 818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.95 : 1,276.08 = 593.57 : x
  2. Step 2: Convert to fraction form
    924.95/1,276.08 = 593.57/x
  3. Step 3: Cross multiply
    924.95x = 1,276.08 × 593.57
  4. Step 4: Simplify right side
    924.95x = 757,442.81
  5. Step 5: Solve for x
    x = 757,442.81/924.95
  6. Step 6: Final answer
    x = 818.90

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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.