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Finding the Fourth Proportional to 1,017.59, 1,404.03 and 597.81

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Solution

The fourth proportional to 1,017.59, 1,404.03 and 597.81 is: 824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.59 : 1,404.03 = 597.81 : x
  2. Step 2: Convert to fraction form
    1,017.59/1,404.03 = 597.81/x
  3. Step 3: Cross multiply
    1,017.59x = 1,404.03 × 597.81
  4. Step 4: Simplify right side
    1,017.59x = 839,343.17
  5. Step 5: Solve for x
    x = 839,343.17/1,017.59
  6. Step 6: Final answer
    x = 824.83

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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.