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Finding the Fourth Proportional to 804.38, 1,109.12 and 509.18

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Solution

The fourth proportional to 804.38, 1,109.12 and 509.18 is: 702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.38 : 1,109.12 = 509.18 : x
  2. Step 2: Convert to fraction form
    804.38/1,109.12 = 509.18/x
  3. Step 3: Cross multiply
    804.38x = 1,109.12 × 509.18
  4. Step 4: Simplify right side
    804.38x = 564,741.72
  5. Step 5: Solve for x
    x = 564,741.72/804.38
  6. Step 6: Final answer
    x = 702.08

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Double scale
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1.5x scale

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.