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Finding the Fourth Proportional to 830.16, 1,142.64 and 795.60

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Solution

The fourth proportional to 830.16, 1,142.64 and 795.60 is: 1,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,142.64 = 795.60 : x
  2. Step 2: Convert to fraction form
    830.16/1,142.64 = 795.60/x
  3. Step 3: Cross multiply
    830.16x = 1,142.64 × 795.60
  4. Step 4: Simplify right side
    830.16x = 909,084.38
  5. Step 5: Solve for x
    x = 909,084.38/830.16
  6. Step 6: Final answer
    x = 1,095.07

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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.