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Finding the Fourth Proportional to 1,032.32, 1,424.52 and 612.66

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Solution

The fourth proportional to 1,032.32, 1,424.52 and 612.66 is: 845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.32 : 1,424.52 = 612.66 : x
  2. Step 2: Convert to fraction form
    1,032.32/1,424.52 = 612.66/x
  3. Step 3: Cross multiply
    1,032.32x = 1,424.52 × 612.66
  4. Step 4: Simplify right side
    1,032.32x = 872,746.42
  5. Step 5: Solve for x
    x = 872,746.42/1,032.32
  6. Step 6: Final answer
    x = 845.42

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1.5x scale

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.