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Finding the Fourth Proportional to 897.76, 1,346.96 and 507.68

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Solution

The fourth proportional to 897.76, 1,346.96 and 507.68 is: 761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.76 : 1,346.96 = 507.68 : x
  2. Step 2: Convert to fraction form
    897.76/1,346.96 = 507.68/x
  3. Step 3: Cross multiply
    897.76x = 1,346.96 × 507.68
  4. Step 4: Simplify right side
    897.76x = 683,824.65
  5. Step 5: Solve for x
    x = 683,824.65/897.76
  6. Step 6: Final answer
    x = 761.70

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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.