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Finding the Fourth Proportional to 1,048.09, 1,570.77 and 430.95

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Solution

The fourth proportional to 1,048.09, 1,570.77 and 430.95 is: 645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.09 : 1,570.77 = 430.95 : x
  2. Step 2: Convert to fraction form
    1,048.09/1,570.77 = 430.95/x
  3. Step 3: Cross multiply
    1,048.09x = 1,570.77 × 430.95
  4. Step 4: Simplify right side
    1,048.09x = 676,914.76
  5. Step 5: Solve for x
    x = 676,914.76/1,048.09
  6. Step 6: Final answer
    x = 645.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.