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Finding the Fourth Proportional to 877.40, 1,210.30 and 566.90

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Solution

The fourth proportional to 877.40, 1,210.30 and 566.90 is: 781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.40 : 1,210.30 = 566.90 : x
  2. Step 2: Convert to fraction form
    877.40/1,210.30 = 566.90/x
  3. Step 3: Cross multiply
    877.40x = 1,210.30 × 566.90
  4. Step 4: Simplify right side
    877.40x = 686,111.60
  5. Step 5: Solve for x
    x = 686,111.60/877.40
  6. Step 6: Final answer
    x = 781.99

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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.