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Finding the Fourth Proportional to 1,686.72, 2,530.54 and 590.95

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Solution

The fourth proportional to 1,686.72, 2,530.54 and 590.95 is: 886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.72 : 2,530.54 = 590.95 : x
  2. Step 2: Convert to fraction form
    1,686.72/2,530.54 = 590.95/x
  3. Step 3: Cross multiply
    1,686.72x = 2,530.54 × 590.95
  4. Step 4: Simplify right side
    1,686.72x = 1,495,412.28
  5. Step 5: Solve for x
    x = 1,495,412.28/1,686.72
  6. Step 6: Final answer
    x = 886.58

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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.