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Finding the Fourth Proportional to 1,386.61, 2,080.68 and 565.46

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Solution

The fourth proportional to 1,386.61, 2,080.68 and 565.46 is: 848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.61 : 2,080.68 = 565.46 : x
  2. Step 2: Convert to fraction form
    1,386.61/2,080.68 = 565.46/x
  3. Step 3: Cross multiply
    1,386.61x = 2,080.68 × 565.46
  4. Step 4: Simplify right side
    1,386.61x = 1,176,541.31
  5. Step 5: Solve for x
    x = 1,176,541.31/1,386.61
  6. Step 6: Final answer
    x = 848.50

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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.