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Finding the Fourth Proportional to 1,056.66, 1,585.35 and 440.70

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Solution

The fourth proportional to 1,056.66, 1,585.35 and 440.70 is: 661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.66 : 1,585.35 = 440.70 : x
  2. Step 2: Convert to fraction form
    1,056.66/1,585.35 = 440.70/x
  3. Step 3: Cross multiply
    1,056.66x = 1,585.35 × 440.70
  4. Step 4: Simplify right side
    1,056.66x = 698,663.75
  5. Step 5: Solve for x
    x = 698,663.75/1,056.66
  6. Step 6: Final answer
    x = 661.20

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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.