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Finding the Fourth Proportional to 983.79, 1,475.55 and 290.53

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Solution

The fourth proportional to 983.79, 1,475.55 and 290.53 is: 435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.79 : 1,475.55 = 290.53 : x
  2. Step 2: Convert to fraction form
    983.79/1,475.55 = 290.53/x
  3. Step 3: Cross multiply
    983.79x = 1,475.55 × 290.53
  4. Step 4: Simplify right side
    983.79x = 428,688.58
  5. Step 5: Solve for x
    x = 428,688.58/983.79
  6. Step 6: Final answer
    x = 435.75

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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.