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Finding the Fourth Proportional to 1,045.98, 1,574.46 and 805.32

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Solution

The fourth proportional to 1,045.98, 1,574.46 and 805.32 is: 1,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.98 : 1,574.46 = 805.32 : x
  2. Step 2: Convert to fraction form
    1,045.98/1,574.46 = 805.32/x
  3. Step 3: Cross multiply
    1,045.98x = 1,574.46 × 805.32
  4. Step 4: Simplify right side
    1,045.98x = 1,267,944.13
  5. Step 5: Solve for x
    x = 1,267,944.13/1,045.98
  6. Step 6: Final answer
    x = 1,212.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.