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Finding the Fourth Proportional to 848.48, 1,170.96 and 538.40

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Solution

The fourth proportional to 848.48, 1,170.96 and 538.40 is: 743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.48 : 1,170.96 = 538.40 : x
  2. Step 2: Convert to fraction form
    848.48/1,170.96 = 538.40/x
  3. Step 3: Cross multiply
    848.48x = 1,170.96 × 538.40
  4. Step 4: Simplify right side
    848.48x = 630,444.86
  5. Step 5: Solve for x
    x = 630,444.86/848.48
  6. Step 6: Final answer
    x = 743.03

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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.