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Finding the Fourth Proportional to 924.32, 1,274.38 and 592.16

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Solution

The fourth proportional to 924.32, 1,274.38 and 592.16 is: 816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.32 : 1,274.38 = 592.16 : x
  2. Step 2: Convert to fraction form
    924.32/1,274.38 = 592.16/x
  3. Step 3: Cross multiply
    924.32x = 1,274.38 × 592.16
  4. Step 4: Simplify right side
    924.32x = 754,636.86
  5. Step 5: Solve for x
    x = 754,636.86/924.32
  6. Step 6: Final answer
    x = 816.42

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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.