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Finding the Fourth Proportional to 1,032.16, 1,424.07 and 612.58

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Solution

The fourth proportional to 1,032.16, 1,424.07 and 612.58 is: 845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.16 : 1,424.07 = 612.58 : x
  2. Step 2: Convert to fraction form
    1,032.16/1,424.07 = 612.58/x
  3. Step 3: Cross multiply
    1,032.16x = 1,424.07 × 612.58
  4. Step 4: Simplify right side
    1,032.16x = 872,356.80
  5. Step 5: Solve for x
    x = 872,356.80/1,032.16
  6. Step 6: Final answer
    x = 845.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.