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Finding the Fourth Proportional to 877.38, 1,210.76 and 499.22

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Solution

The fourth proportional to 877.38, 1,210.76 and 499.22 is: 688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.38 : 1,210.76 = 499.22 : x
  2. Step 2: Convert to fraction form
    877.38/1,210.76 = 499.22/x
  3. Step 3: Cross multiply
    877.38x = 1,210.76 × 499.22
  4. Step 4: Simplify right side
    877.38x = 604,435.61
  5. Step 5: Solve for x
    x = 604,435.61/877.38
  6. Step 6: Final answer
    x = 688.91

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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.