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Finding the Fourth Proportional to 1,045.58, 1,569.92 and 584.26

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Solution

The fourth proportional to 1,045.58, 1,569.92 and 584.26 is: 877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.58 : 1,569.92 = 584.26 : x
  2. Step 2: Convert to fraction form
    1,045.58/1,569.92 = 584.26/x
  3. Step 3: Cross multiply
    1,045.58x = 1,569.92 × 584.26
  4. Step 4: Simplify right side
    1,045.58x = 917,241.46
  5. Step 5: Solve for x
    x = 917,241.46/1,045.58
  6. Step 6: Final answer
    x = 877.26

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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.