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Finding the Fourth Proportional to 877.49, 1,210.40 and 562.65

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Solution

The fourth proportional to 877.49, 1,210.40 and 562.65 is: 776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.49 : 1,210.40 = 562.65 : x
  2. Step 2: Convert to fraction form
    877.49/1,210.40 = 562.65/x
  3. Step 3: Cross multiply
    877.49x = 1,210.40 × 562.65
  4. Step 4: Simplify right side
    877.49x = 681,026.32
  5. Step 5: Solve for x
    x = 681,026.32/877.49
  6. Step 6: Final answer
    x = 776.11

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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.