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Finding the Fourth Proportional to 942.15, 1,411.86 and 530.42

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Solution

The fourth proportional to 942.15, 1,411.86 and 530.42 is: 794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.15 : 1,411.86 = 530.42 : x
  2. Step 2: Convert to fraction form
    942.15/1,411.86 = 530.42/x
  3. Step 3: Cross multiply
    942.15x = 1,411.86 × 530.42
  4. Step 4: Simplify right side
    942.15x = 748,878.78
  5. Step 5: Solve for x
    x = 748,878.78/942.15
  6. Step 6: Final answer
    x = 794.86

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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.