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Finding the Fourth Proportional to 1,533.16, 2,115.87 and 870.02

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Solution

The fourth proportional to 1,533.16, 2,115.87 and 870.02 is: 1,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.16 : 2,115.87 = 870.02 : x
  2. Step 2: Convert to fraction form
    1,533.16/2,115.87 = 870.02/x
  3. Step 3: Cross multiply
    1,533.16x = 2,115.87 × 870.02
  4. Step 4: Simplify right side
    1,533.16x = 1,840,849.22
  5. Step 5: Solve for x
    x = 1,840,849.22/1,533.16
  6. Step 6: Final answer
    x = 1,200.69

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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.