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Finding the Fourth Proportional to 873.92, 1,206.16 and 524.63

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Solution

The fourth proportional to 873.92, 1,206.16 and 524.63 is: 724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.92 : 1,206.16 = 524.63 : x
  2. Step 2: Convert to fraction form
    873.92/1,206.16 = 524.63/x
  3. Step 3: Cross multiply
    873.92x = 1,206.16 × 524.63
  4. Step 4: Simplify right side
    873.92x = 632,780.38
  5. Step 5: Solve for x
    x = 632,780.38/873.92
  6. Step 6: Final answer
    x = 724.08

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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.