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Finding the Fourth Proportional to 1,046.19, 1,569.37 and 430.19

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Solution

The fourth proportional to 1,046.19, 1,569.37 and 430.19 is: 645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.19 : 1,569.37 = 430.19 : x
  2. Step 2: Convert to fraction form
    1,046.19/1,569.37 = 430.19/x
  3. Step 3: Cross multiply
    1,046.19x = 1,569.37 × 430.19
  4. Step 4: Simplify right side
    1,046.19x = 675,127.28
  5. Step 5: Solve for x
    x = 675,127.28/1,046.19
  6. Step 6: Final answer
    x = 645.32

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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.