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Finding the Fourth Proportional to 1,056.77, 1,585.61 and 407.34

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Solution

The fourth proportional to 1,056.77, 1,585.61 and 407.34 is: 611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.77 : 1,585.61 = 407.34 : x
  2. Step 2: Convert to fraction form
    1,056.77/1,585.61 = 407.34/x
  3. Step 3: Cross multiply
    1,056.77x = 1,585.61 × 407.34
  4. Step 4: Simplify right side
    1,056.77x = 645,880.34
  5. Step 5: Solve for x
    x = 645,880.34/1,056.77
  6. Step 6: Final answer
    x = 611.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.