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Finding the Fourth Proportional to 1,017.30, 1,404.06 and 597.69

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Solution

The fourth proportional to 1,017.30, 1,404.06 and 597.69 is: 824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.30 : 1,404.06 = 597.69 : x
  2. Step 2: Convert to fraction form
    1,017.30/1,404.06 = 597.69/x
  3. Step 3: Cross multiply
    1,017.30x = 1,404.06 × 597.69
  4. Step 4: Simplify right side
    1,017.30x = 839,192.62
  5. Step 5: Solve for x
    x = 839,192.62/1,017.30
  6. Step 6: Final answer
    x = 824.92

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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.