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Finding the Fourth Proportional to 873.04, 1,308.84 and 410.58

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Solution

The fourth proportional to 873.04, 1,308.84 and 410.58 is: 615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.04 : 1,308.84 = 410.58 : x
  2. Step 2: Convert to fraction form
    873.04/1,308.84 = 410.58/x
  3. Step 3: Cross multiply
    873.04x = 1,308.84 × 410.58
  4. Step 4: Simplify right side
    873.04x = 537,383.53
  5. Step 5: Solve for x
    x = 537,383.53/873.04
  6. Step 6: Final answer
    x = 615.53

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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.