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Finding the Fourth Proportional to 783.71, 1,173.02 and 578.19

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Solution

The fourth proportional to 783.71, 1,173.02 and 578.19 is: 865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.71 : 1,173.02 = 578.19 : x
  2. Step 2: Convert to fraction form
    783.71/1,173.02 = 578.19/x
  3. Step 3: Cross multiply
    783.71x = 1,173.02 × 578.19
  4. Step 4: Simplify right side
    783.71x = 678,225.54
  5. Step 5: Solve for x
    x = 678,225.54/783.71
  6. Step 6: Final answer
    x = 865.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.