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Finding the Fourth Proportional to 1,458.59, 2,187.50 and 534.23

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Solution

The fourth proportional to 1,458.59, 2,187.50 and 534.23 is: 801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.59 : 2,187.50 = 534.23 : x
  2. Step 2: Convert to fraction form
    1,458.59/2,187.50 = 534.23/x
  3. Step 3: Cross multiply
    1,458.59x = 2,187.50 × 534.23
  4. Step 4: Simplify right side
    1,458.59x = 1,168,618.52
  5. Step 5: Solve for x
    x = 1,168,618.52/1,458.59
  6. Step 6: Final answer
    x = 801.20

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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.