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Finding the Fourth Proportional to 1,044.63, 1,566.93 and 582.18

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Solution

The fourth proportional to 1,044.63, 1,566.93 and 582.18 is: 873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.63 : 1,566.93 = 582.18 : x
  2. Step 2: Convert to fraction form
    1,044.63/1,566.93 = 582.18/x
  3. Step 3: Cross multiply
    1,044.63x = 1,566.93 × 582.18
  4. Step 4: Simplify right side
    1,044.63x = 912,235.31
  5. Step 5: Solve for x
    x = 912,235.31/1,044.63
  6. Step 6: Final answer
    x = 873.26

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1.5x scale

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.