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Finding the Fourth Proportional to 1,009.38, 1,392.86 and 567.24

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Solution

The fourth proportional to 1,009.38, 1,392.86 and 567.24 is: 782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.38 : 1,392.86 = 567.24 : x
  2. Step 2: Convert to fraction form
    1,009.38/1,392.86 = 567.24/x
  3. Step 3: Cross multiply
    1,009.38x = 1,392.86 × 567.24
  4. Step 4: Simplify right side
    1,009.38x = 790,085.91
  5. Step 5: Solve for x
    x = 790,085.91/1,009.38
  6. Step 6: Final answer
    x = 782.74

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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.