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Finding the Fourth Proportional to 1,047.66, 1,570.19 and 431.03

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Solution

The fourth proportional to 1,047.66, 1,570.19 and 431.03 is: 646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.66 : 1,570.19 = 431.03 : x
  2. Step 2: Convert to fraction form
    1,047.66/1,570.19 = 431.03/x
  3. Step 3: Cross multiply
    1,047.66x = 1,570.19 × 431.03
  4. Step 4: Simplify right side
    1,047.66x = 676,788.99
  5. Step 5: Solve for x
    x = 676,788.99/1,047.66
  6. Step 6: Final answer
    x = 646.00

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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.