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Finding the Fourth Proportional to 870.07, 1,200.72 and 520.96

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Solution

The fourth proportional to 870.07, 1,200.72 and 520.96 is: 718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.07 : 1,200.72 = 520.96 : x
  2. Step 2: Convert to fraction form
    870.07/1,200.72 = 520.96/x
  3. Step 3: Cross multiply
    870.07x = 1,200.72 × 520.96
  4. Step 4: Simplify right side
    870.07x = 625,527.09
  5. Step 5: Solve for x
    x = 625,527.09/870.07
  6. Step 6: Final answer
    x = 718.94

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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.