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Finding the Fourth Proportional to 1,346.16, 2,019.55 and 468.71

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Solution

The fourth proportional to 1,346.16, 2,019.55 and 468.71 is: 703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.16 : 2,019.55 = 468.71 : x
  2. Step 2: Convert to fraction form
    1,346.16/2,019.55 = 468.71/x
  3. Step 3: Cross multiply
    1,346.16x = 2,019.55 × 468.71
  4. Step 4: Simplify right side
    1,346.16x = 946,572.01
  5. Step 5: Solve for x
    x = 946,572.01/1,346.16
  6. Step 6: Final answer
    x = 703.16

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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.