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Finding the Fourth Proportional to 897.04, 1,345.28 and 462.88

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Solution

The fourth proportional to 897.04, 1,345.28 and 462.88 is: 694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.04 : 1,345.28 = 462.88 : x
  2. Step 2: Convert to fraction form
    897.04/1,345.28 = 462.88/x
  3. Step 3: Cross multiply
    897.04x = 1,345.28 × 462.88
  4. Step 4: Simplify right side
    897.04x = 622,703.21
  5. Step 5: Solve for x
    x = 622,703.21/897.04
  6. Step 6: Final answer
    x = 694.18

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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.