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Finding the Fourth Proportional to 870.25, 1,303.64 and 523.40

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Solution

The fourth proportional to 870.25, 1,303.64 and 523.40 is: 784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.25 : 1,303.64 = 523.40 : x
  2. Step 2: Convert to fraction form
    870.25/1,303.64 = 523.40/x
  3. Step 3: Cross multiply
    870.25x = 1,303.64 × 523.40
  4. Step 4: Simplify right side
    870.25x = 682,316.04
  5. Step 5: Solve for x
    x = 682,316.04/870.25
  6. Step 6: Final answer
    x = 784.05

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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.