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Finding the Fourth Proportional to 1,059.24, 1,588.05 and 598.35

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Solution

The fourth proportional to 1,059.24, 1,588.05 and 598.35 is: 897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.24 : 1,588.05 = 598.35 : x
  2. Step 2: Convert to fraction form
    1,059.24/1,588.05 = 598.35/x
  3. Step 3: Cross multiply
    1,059.24x = 1,588.05 × 598.35
  4. Step 4: Simplify right side
    1,059.24x = 950,209.72
  5. Step 5: Solve for x
    x = 950,209.72/1,059.24
  6. Step 6: Final answer
    x = 897.07

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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.