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Finding the Fourth Proportional to 877.42, 1,210.71 and 583.12

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Solution

The fourth proportional to 877.42, 1,210.71 and 583.12 is: 804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.42 : 1,210.71 = 583.12 : x
  2. Step 2: Convert to fraction form
    877.42/1,210.71 = 583.12/x
  3. Step 3: Cross multiply
    877.42x = 1,210.71 × 583.12
  4. Step 4: Simplify right side
    877.42x = 705,989.22
  5. Step 5: Solve for x
    x = 705,989.22/877.42
  6. Step 6: Final answer
    x = 804.62

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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.