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Finding the Fourth Proportional to 1,018.02, 1,404.70 and 575.83

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Solution

The fourth proportional to 1,018.02, 1,404.70 and 575.83 is: 794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.02 : 1,404.70 = 575.83 : x
  2. Step 2: Convert to fraction form
    1,018.02/1,404.70 = 575.83/x
  3. Step 3: Cross multiply
    1,018.02x = 1,404.70 × 575.83
  4. Step 4: Simplify right side
    1,018.02x = 808,868.40
  5. Step 5: Solve for x
    x = 808,868.40/1,018.02
  6. Step 6: Final answer
    x = 794.55

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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.