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Finding the Fourth Proportional to 688.19, 1,032.58 and 278.12

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Solution

The fourth proportional to 688.19, 1,032.58 and 278.12 is: 417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.19 : 1,032.58 = 278.12 : x
  2. Step 2: Convert to fraction form
    688.19/1,032.58 = 278.12/x
  3. Step 3: Cross multiply
    688.19x = 1,032.58 × 278.12
  4. Step 4: Simplify right side
    688.19x = 287,184.08
  5. Step 5: Solve for x
    x = 287,184.08/688.19
  6. Step 6: Final answer
    x = 417.31

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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.