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Finding the Fourth Proportional to 1,046.48, 1,569.94 and 740.30

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Solution

The fourth proportional to 1,046.48, 1,569.94 and 740.30 is: 1,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.48 : 1,569.94 = 740.30 : x
  2. Step 2: Convert to fraction form
    1,046.48/1,569.94 = 740.30/x
  3. Step 3: Cross multiply
    1,046.48x = 1,569.94 × 740.30
  4. Step 4: Simplify right side
    1,046.48x = 1,162,226.58
  5. Step 5: Solve for x
    x = 1,162,226.58/1,046.48
  6. Step 6: Final answer
    x = 1,110.61

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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.