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Finding the Fourth Proportional to 1,046.88, 1,570.29 and 430.41

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Solution

The fourth proportional to 1,046.88, 1,570.29 and 430.41 is: 645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.88 : 1,570.29 = 430.41 : x
  2. Step 2: Convert to fraction form
    1,046.88/1,570.29 = 430.41/x
  3. Step 3: Cross multiply
    1,046.88x = 1,570.29 × 430.41
  4. Step 4: Simplify right side
    1,046.88x = 675,868.52
  5. Step 5: Solve for x
    x = 675,868.52/1,046.88
  6. Step 6: Final answer
    x = 645.60

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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.