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Finding the Fourth Proportional to 897.84, 1,345.69 and 507.67

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Solution

The fourth proportional to 897.84, 1,345.69 and 507.67 is: 760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,345.69 = 507.67 : x
  2. Step 2: Convert to fraction form
    897.84/1,345.69 = 507.67/x
  3. Step 3: Cross multiply
    897.84x = 1,345.69 × 507.67
  4. Step 4: Simplify right side
    897.84x = 683,166.44
  5. Step 5: Solve for x
    x = 683,166.44/897.84
  6. Step 6: Final answer
    x = 760.90

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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.