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Finding the Fourth Proportional to 1,057.02, 1,588.44 and 595.50

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Solution

The fourth proportional to 1,057.02, 1,588.44 and 595.50 is: 894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.02 : 1,588.44 = 595.50 : x
  2. Step 2: Convert to fraction form
    1,057.02/1,588.44 = 595.50/x
  3. Step 3: Cross multiply
    1,057.02x = 1,588.44 × 595.50
  4. Step 4: Simplify right side
    1,057.02x = 945,916.02
  5. Step 5: Solve for x
    x = 945,916.02/1,057.02
  6. Step 6: Final answer
    x = 894.89

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Why These Related Problems?

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