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Finding the Fourth Proportional to 1,458.77, 2,188.19 and 534.15

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Solution

The fourth proportional to 1,458.77, 2,188.19 and 534.15 is: 801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.77 : 2,188.19 = 534.15 : x
  2. Step 2: Convert to fraction form
    1,458.77/2,188.19 = 534.15/x
  3. Step 3: Cross multiply
    1,458.77x = 2,188.19 × 534.15
  4. Step 4: Simplify right side
    1,458.77x = 1,168,823.02
  5. Step 5: Solve for x
    x = 1,168,823.02/1,458.77
  6. Step 6: Final answer
    x = 801.24

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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.