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Finding the Fourth Proportional to 1,046.24, 1,568.88 and 430.24

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Solution

The fourth proportional to 1,046.24, 1,568.88 and 430.24 is: 645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.24 : 1,568.88 = 430.24 : x
  2. Step 2: Convert to fraction form
    1,046.24/1,568.88 = 430.24/x
  3. Step 3: Cross multiply
    1,046.24x = 1,568.88 × 430.24
  4. Step 4: Simplify right side
    1,046.24x = 674,994.93
  5. Step 5: Solve for x
    x = 674,994.93/1,046.24
  6. Step 6: Final answer
    x = 645.16

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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.