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Finding the Fourth Proportional to 1,017.55, 1,404.05 and 597.81

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Solution

The fourth proportional to 1,017.55, 1,404.05 and 597.81 is: 824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.55 : 1,404.05 = 597.81 : x
  2. Step 2: Convert to fraction form
    1,017.55/1,404.05 = 597.81/x
  3. Step 3: Cross multiply
    1,017.55x = 1,404.05 × 597.81
  4. Step 4: Simplify right side
    1,017.55x = 839,355.13
  5. Step 5: Solve for x
    x = 839,355.13/1,017.55
  6. Step 6: Final answer
    x = 824.88

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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.