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Finding the Fourth Proportional to 1,533.59, 2,116.54 and 870.65

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Solution

The fourth proportional to 1,533.59, 2,116.54 and 870.65 is: 1,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.59 : 2,116.54 = 870.65 : x
  2. Step 2: Convert to fraction form
    1,533.59/2,116.54 = 870.65/x
  3. Step 3: Cross multiply
    1,533.59x = 2,116.54 × 870.65
  4. Step 4: Simplify right side
    1,533.59x = 1,842,771.93
  5. Step 5: Solve for x
    x = 1,842,771.93/1,533.59
  6. Step 6: Final answer
    x = 1,201.61

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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.