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Finding the Fourth Proportional to 877.68, 1,210.58 and 597.74

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Solution

The fourth proportional to 877.68, 1,210.58 and 597.74 is: 824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.68 : 1,210.58 = 597.74 : x
  2. Step 2: Convert to fraction form
    877.68/1,210.58 = 597.74/x
  3. Step 3: Cross multiply
    877.68x = 1,210.58 × 597.74
  4. Step 4: Simplify right side
    877.68x = 723,612.09
  5. Step 5: Solve for x
    x = 723,612.09/877.68
  6. Step 6: Final answer
    x = 824.46

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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.