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Finding the Fourth Proportional to 942.14, 1,410.78 and 530.66

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Solution

The fourth proportional to 942.14, 1,410.78 and 530.66 is: 794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.14 : 1,410.78 = 530.66 : x
  2. Step 2: Convert to fraction form
    942.14/1,410.78 = 530.66/x
  3. Step 3: Cross multiply
    942.14x = 1,410.78 × 530.66
  4. Step 4: Simplify right side
    942.14x = 748,644.51
  5. Step 5: Solve for x
    x = 748,644.51/942.14
  6. Step 6: Final answer
    x = 794.62

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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.