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Finding the Fourth Proportional to 1,407.51, 2,111.06 and 585.70

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Solution

The fourth proportional to 1,407.51, 2,111.06 and 585.70 is: 878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.51 : 2,111.06 = 585.70 : x
  2. Step 2: Convert to fraction form
    1,407.51/2,111.06 = 585.70/x
  3. Step 3: Cross multiply
    1,407.51x = 2,111.06 × 585.70
  4. Step 4: Simplify right side
    1,407.51x = 1,236,444.03
  5. Step 5: Solve for x
    x = 1,236,444.03/1,407.51
  6. Step 6: Final answer
    x = 878.46

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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.