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Finding the Fourth Proportional to 798.96, 1,102.47 and 484.35

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Solution

The fourth proportional to 798.96, 1,102.47 and 484.35 is: 668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.96 : 1,102.47 = 484.35 : x
  2. Step 2: Convert to fraction form
    798.96/1,102.47 = 484.35/x
  3. Step 3: Cross multiply
    798.96x = 1,102.47 × 484.35
  4. Step 4: Simplify right side
    798.96x = 533,981.34
  5. Step 5: Solve for x
    x = 533,981.34/798.96
  6. Step 6: Final answer
    x = 668.35

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1.5x scale

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.