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Finding the Fourth Proportional to 1,407.79, 2,111.58 and 483.31

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Solution

The fourth proportional to 1,407.79, 2,111.58 and 483.31 is: 724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.79 : 2,111.58 = 483.31 : x
  2. Step 2: Convert to fraction form
    1,407.79/2,111.58 = 483.31/x
  3. Step 3: Cross multiply
    1,407.79x = 2,111.58 × 483.31
  4. Step 4: Simplify right side
    1,407.79x = 1,020,547.73
  5. Step 5: Solve for x
    x = 1,020,547.73/1,407.79
  6. Step 6: Final answer
    x = 724.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.