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Finding the Fourth Proportional to 897.10, 1,238.00 and 542.90

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Solution

The fourth proportional to 897.10, 1,238.00 and 542.90 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.10 : 1,238.00 = 542.90 : x
  2. Step 2: Convert to fraction form
    897.10/1,238.00 = 542.90/x
  3. Step 3: Cross multiply
    897.10x = 1,238.00 × 542.90
  4. Step 4: Simplify right side
    897.10x = 672,114.65
  5. Step 5: Solve for x
    x = 672,114.65/897.10
  6. Step 6: Final answer
    x = 749.21

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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.