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Finding the Fourth Proportional to 1,032.70, 1,547.02 and 620.62

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Solution

The fourth proportional to 1,032.70, 1,547.02 and 620.62 is: 929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.70 : 1,547.02 = 620.62 : x
  2. Step 2: Convert to fraction form
    1,032.70/1,547.02 = 620.62/x
  3. Step 3: Cross multiply
    1,032.70x = 1,547.02 × 620.62
  4. Step 4: Simplify right side
    1,032.70x = 960,111.55
  5. Step 5: Solve for x
    x = 960,111.55/1,032.70
  6. Step 6: Final answer
    x = 929.71

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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.