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Finding the Fourth Proportional to 1,005.21, 1,506.87 and 542.30

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Solution

The fourth proportional to 1,005.21, 1,506.87 and 542.30 is: 812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.21 : 1,506.87 = 542.30 : x
  2. Step 2: Convert to fraction form
    1,005.21/1,506.87 = 542.30/x
  3. Step 3: Cross multiply
    1,005.21x = 1,506.87 × 542.30
  4. Step 4: Simplify right side
    1,005.21x = 817,168.07
  5. Step 5: Solve for x
    x = 817,168.07/1,005.21
  6. Step 6: Final answer
    x = 812.93

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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.