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Finding the Fourth Proportional to 1,046.06, 1,569.12 and 583.58

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Solution

The fourth proportional to 1,046.06, 1,569.12 and 583.58 is: 875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.06 : 1,569.12 = 583.58 : x
  2. Step 2: Convert to fraction form
    1,046.06/1,569.12 = 583.58/x
  3. Step 3: Cross multiply
    1,046.06x = 1,569.12 × 583.58
  4. Step 4: Simplify right side
    1,046.06x = 915,707.05
  5. Step 5: Solve for x
    x = 915,707.05/1,046.06
  6. Step 6: Final answer
    x = 875.39

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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.