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Finding the Fourth Proportional to 1,407.59, 2,110.73 and 585.37

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Solution

The fourth proportional to 1,407.59, 2,110.73 and 585.37 is: 877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.59 : 2,110.73 = 585.37 : x
  2. Step 2: Convert to fraction form
    1,407.59/2,110.73 = 585.37/x
  3. Step 3: Cross multiply
    1,407.59x = 2,110.73 × 585.37
  4. Step 4: Simplify right side
    1,407.59x = 1,235,547.47
  5. Step 5: Solve for x
    x = 1,235,547.47/1,407.59
  6. Step 6: Final answer
    x = 877.78

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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.