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Finding the Fourth Proportional to 1,047.51, 1,570.11 and 461.89

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Solution

The fourth proportional to 1,047.51, 1,570.11 and 461.89 is: 692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.51 : 1,570.11 = 461.89 : x
  2. Step 2: Convert to fraction form
    1,047.51/1,570.11 = 461.89/x
  3. Step 3: Cross multiply
    1,047.51x = 1,570.11 × 461.89
  4. Step 4: Simplify right side
    1,047.51x = 725,210.26
  5. Step 5: Solve for x
    x = 725,210.26/1,047.51
  6. Step 6: Final answer
    x = 692.32

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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.