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Finding the Fourth Proportional to 1,032.80, 1,547.40 and 647.60

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Solution

The fourth proportional to 1,032.80, 1,547.40 and 647.60 is: 970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.80 : 1,547.40 = 647.60 : x
  2. Step 2: Convert to fraction form
    1,032.80/1,547.40 = 647.60/x
  3. Step 3: Cross multiply
    1,032.80x = 1,547.40 × 647.60
  4. Step 4: Simplify right side
    1,032.80x = 1,002,096.24
  5. Step 5: Solve for x
    x = 1,002,096.24/1,032.80
  6. Step 6: Final answer
    x = 970.27

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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.