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Finding the Fourth Proportional to 944.59, 1,303.55 and 524.92

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Solution

The fourth proportional to 944.59, 1,303.55 and 524.92 is: 724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.59 : 1,303.55 = 524.92 : x
  2. Step 2: Convert to fraction form
    944.59/1,303.55 = 524.92/x
  3. Step 3: Cross multiply
    944.59x = 1,303.55 × 524.92
  4. Step 4: Simplify right side
    944.59x = 684,259.47
  5. Step 5: Solve for x
    x = 684,259.47/944.59
  6. Step 6: Final answer
    x = 724.40

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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.