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Finding the Fourth Proportional to 1,045.22, 1,569.36 and 583.89

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Solution

The fourth proportional to 1,045.22, 1,569.36 and 583.89 is: 876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.22 : 1,569.36 = 583.89 : x
  2. Step 2: Convert to fraction form
    1,045.22/1,569.36 = 583.89/x
  3. Step 3: Cross multiply
    1,045.22x = 1,569.36 × 583.89
  4. Step 4: Simplify right side
    1,045.22x = 916,333.61
  5. Step 5: Solve for x
    x = 916,333.61/1,045.22
  6. Step 6: Final answer
    x = 876.69

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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.