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Finding the Fourth Proportional to 670.71, 1,009.79 and 525.24

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Solution

The fourth proportional to 670.71, 1,009.79 and 525.24 is: 790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.71 : 1,009.79 = 525.24 : x
  2. Step 2: Convert to fraction form
    670.71/1,009.79 = 525.24/x
  3. Step 3: Cross multiply
    670.71x = 1,009.79 × 525.24
  4. Step 4: Simplify right side
    670.71x = 530,379.47
  5. Step 5: Solve for x
    x = 530,379.47/670.71
  6. Step 6: Final answer
    x = 790.77

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