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Finding the Fourth Proportional to 1,053.29, 1,576.95 and 590.24

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Solution

The fourth proportional to 1,053.29, 1,576.95 and 590.24 is: 883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.29 : 1,576.95 = 590.24 : x
  2. Step 2: Convert to fraction form
    1,053.29/1,576.95 = 590.24/x
  3. Step 3: Cross multiply
    1,053.29x = 1,576.95 × 590.24
  4. Step 4: Simplify right side
    1,053.29x = 930,771.08
  5. Step 5: Solve for x
    x = 930,771.08/1,053.29
  6. Step 6: Final answer
    x = 883.68

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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.