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Finding the Fourth Proportional to 1,051.17, 1,575.85 and 588.57

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Solution

The fourth proportional to 1,051.17, 1,575.85 and 588.57 is: 882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.17 : 1,575.85 = 588.57 : x
  2. Step 2: Convert to fraction form
    1,051.17/1,575.85 = 588.57/x
  3. Step 3: Cross multiply
    1,051.17x = 1,575.85 × 588.57
  4. Step 4: Simplify right side
    1,051.17x = 927,498.03
  5. Step 5: Solve for x
    x = 927,498.03/1,051.17
  6. Step 6: Final answer
    x = 882.35

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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.