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Finding the Fourth Proportional to 1,364.58, 1,882.17 and 916.65

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Solution

The fourth proportional to 1,364.58, 1,882.17 and 916.65 is: 1,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.58 : 1,882.17 = 916.65 : x
  2. Step 2: Convert to fraction form
    1,364.58/1,882.17 = 916.65/x
  3. Step 3: Cross multiply
    1,364.58x = 1,882.17 × 916.65
  4. Step 4: Simplify right side
    1,364.58x = 1,725,291.13
  5. Step 5: Solve for x
    x = 1,725,291.13/1,364.58
  6. Step 6: Final answer
    x = 1,264.34

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1.5x scale

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.