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Finding the Fourth Proportional to 975.30, 1,345.50 and 582.18

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Solution

The fourth proportional to 975.30, 1,345.50 and 582.18 is: 803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.30 : 1,345.50 = 582.18 : x
  2. Step 2: Convert to fraction form
    975.30/1,345.50 = 582.18/x
  3. Step 3: Cross multiply
    975.30x = 1,345.50 × 582.18
  4. Step 4: Simplify right side
    975.30x = 783,323.19
  5. Step 5: Solve for x
    x = 783,323.19/975.30
  6. Step 6: Final answer
    x = 803.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.