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Finding the Fourth Proportional to 1,046.74, 1,570.12 and 469.21

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Solution

The fourth proportional to 1,046.74, 1,570.12 and 469.21 is: 703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.74 : 1,570.12 = 469.21 : x
  2. Step 2: Convert to fraction form
    1,046.74/1,570.12 = 469.21/x
  3. Step 3: Cross multiply
    1,046.74x = 1,570.12 × 469.21
  4. Step 4: Simplify right side
    1,046.74x = 736,716.01
  5. Step 5: Solve for x
    x = 736,716.01/1,046.74
  6. Step 6: Final answer
    x = 703.82

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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.