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Finding the Fourth Proportional to 930.96, 1,390.95 and 898.65

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Solution

The fourth proportional to 930.96, 1,390.95 and 898.65 is: 1,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.96 : 1,390.95 = 898.65 : x
  2. Step 2: Convert to fraction form
    930.96/1,390.95 = 898.65/x
  3. Step 3: Cross multiply
    930.96x = 1,390.95 × 898.65
  4. Step 4: Simplify right side
    930.96x = 1,249,977.22
  5. Step 5: Solve for x
    x = 1,249,977.22/930.96
  6. Step 6: Final answer
    x = 1,342.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.