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Finding the Fourth Proportional to 1,041.76, 1,437.95 and 599.96

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Solution

The fourth proportional to 1,041.76, 1,437.95 and 599.96 is: 828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.76 : 1,437.95 = 599.96 : x
  2. Step 2: Convert to fraction form
    1,041.76/1,437.95 = 599.96/x
  3. Step 3: Cross multiply
    1,041.76x = 1,437.95 × 599.96
  4. Step 4: Simplify right side
    1,041.76x = 862,706.79
  5. Step 5: Solve for x
    x = 862,706.79/1,041.76
  6. Step 6: Final answer
    x = 828.13

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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.