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Finding the Fourth Proportional to 1,145.80, 1,718.84 and 529.64

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Solution

The fourth proportional to 1,145.80, 1,718.84 and 529.64 is: 794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.80 : 1,718.84 = 529.64 : x
  2. Step 2: Convert to fraction form
    1,145.80/1,718.84 = 529.64/x
  3. Step 3: Cross multiply
    1,145.80x = 1,718.84 × 529.64
  4. Step 4: Simplify right side
    1,145.80x = 910,359.15
  5. Step 5: Solve for x
    x = 910,359.15/1,145.80
  6. Step 6: Final answer
    x = 794.52

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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.