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Finding the Fourth Proportional to 714.32, 1,070.06 and 440.94

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Solution

The fourth proportional to 714.32, 1,070.06 and 440.94 is: 660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.32 : 1,070.06 = 440.94 : x
  2. Step 2: Convert to fraction form
    714.32/1,070.06 = 440.94/x
  3. Step 3: Cross multiply
    714.32x = 1,070.06 × 440.94
  4. Step 4: Simplify right side
    714.32x = 471,832.26
  5. Step 5: Solve for x
    x = 471,832.26/714.32
  6. Step 6: Final answer
    x = 660.53

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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.