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Finding the Fourth Proportional to 897.87, 1,345.54 and 714.45

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Solution

The fourth proportional to 897.87, 1,345.54 and 714.45 is: 1,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.87 : 1,345.54 = 714.45 : x
  2. Step 2: Convert to fraction form
    897.87/1,345.54 = 714.45/x
  3. Step 3: Cross multiply
    897.87x = 1,345.54 × 714.45
  4. Step 4: Simplify right side
    897.87x = 961,321.05
  5. Step 5: Solve for x
    x = 961,321.05/897.87
  6. Step 6: Final answer
    x = 1,070.67

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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.