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Finding the Fourth Proportional to 1,117.07, 1,675.68 and 386.55

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Solution

The fourth proportional to 1,117.07, 1,675.68 and 386.55 is: 579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.07 : 1,675.68 = 386.55 : x
  2. Step 2: Convert to fraction form
    1,117.07/1,675.68 = 386.55/x
  3. Step 3: Cross multiply
    1,117.07x = 1,675.68 × 386.55
  4. Step 4: Simplify right side
    1,117.07x = 647,734.10
  5. Step 5: Solve for x
    x = 647,734.10/1,117.07
  6. Step 6: Final answer
    x = 579.85

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Double scale
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1.5x scale

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.