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Finding the Fourth Proportional to 877.65, 1,210.64 and 567.15

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Solution

The fourth proportional to 877.65, 1,210.64 and 567.15 is: 782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.65 : 1,210.64 = 567.15 : x
  2. Step 2: Convert to fraction form
    877.65/1,210.64 = 567.15/x
  3. Step 3: Cross multiply
    877.65x = 1,210.64 × 567.15
  4. Step 4: Simplify right side
    877.65x = 686,609.84
  5. Step 5: Solve for x
    x = 686,609.84/877.65
  6. Step 6: Final answer
    x = 782.33

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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.