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Finding the Fourth Proportional to 1,011.04, 1,513.64 and 593.30

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Solution

The fourth proportional to 1,011.04, 1,513.64 and 593.30 is: 888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.04 : 1,513.64 = 593.30 : x
  2. Step 2: Convert to fraction form
    1,011.04/1,513.64 = 593.30/x
  3. Step 3: Cross multiply
    1,011.04x = 1,513.64 × 593.30
  4. Step 4: Simplify right side
    1,011.04x = 898,047.88
  5. Step 5: Solve for x
    x = 898,047.88/1,011.04
  6. Step 6: Final answer
    x = 888.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.