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Finding the Fourth Proportional to 897.76, 1,345.32 and 487.12

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Solution

The fourth proportional to 897.76, 1,345.32 and 487.12 is: 729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.76 : 1,345.32 = 487.12 : x
  2. Step 2: Convert to fraction form
    897.76/1,345.32 = 487.12/x
  3. Step 3: Cross multiply
    897.76x = 1,345.32 × 487.12
  4. Step 4: Simplify right side
    897.76x = 655,332.28
  5. Step 5: Solve for x
    x = 655,332.28/897.76
  6. Step 6: Final answer
    x = 729.96

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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.