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Finding the Fourth Proportional to 1,047.09, 1,570.98 and 430.47

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Solution

The fourth proportional to 1,047.09, 1,570.98 and 430.47 is: 645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.09 : 1,570.98 = 430.47 : x
  2. Step 2: Convert to fraction form
    1,047.09/1,570.98 = 430.47/x
  3. Step 3: Cross multiply
    1,047.09x = 1,570.98 × 430.47
  4. Step 4: Simplify right side
    1,047.09x = 676,259.76
  5. Step 5: Solve for x
    x = 676,259.76/1,047.09
  6. Step 6: Final answer
    x = 645.85

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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.