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Finding the Fourth Proportional to 670.32, 1,009.21 and 524.86

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Solution

The fourth proportional to 670.32, 1,009.21 and 524.86 is: 790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.32 : 1,009.21 = 524.86 : x
  2. Step 2: Convert to fraction form
    670.32/1,009.21 = 524.86/x
  3. Step 3: Cross multiply
    670.32x = 1,009.21 × 524.86
  4. Step 4: Simplify right side
    670.32x = 529,693.96
  5. Step 5: Solve for x
    x = 529,693.96/670.32
  6. Step 6: Final answer
    x = 790.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.