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Finding the Fourth Proportional to 1,156.29, 1,595.64 and 632.31

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Solution

The fourth proportional to 1,156.29, 1,595.64 and 632.31 is: 872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.29 : 1,595.64 = 632.31 : x
  2. Step 2: Convert to fraction form
    1,156.29/1,595.64 = 632.31/x
  3. Step 3: Cross multiply
    1,156.29x = 1,595.64 × 632.31
  4. Step 4: Simplify right side
    1,156.29x = 1,008,939.13
  5. Step 5: Solve for x
    x = 1,008,939.13/1,156.29
  6. Step 6: Final answer
    x = 872.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.