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Finding the Fourth Proportional to 877.40, 1,210.14 and 527.72

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Solution

The fourth proportional to 877.40, 1,210.14 and 527.72 is: 727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.40 : 1,210.14 = 527.72 : x
  2. Step 2: Convert to fraction form
    877.40/1,210.14 = 527.72/x
  3. Step 3: Cross multiply
    877.40x = 1,210.14 × 527.72
  4. Step 4: Simplify right side
    877.40x = 638,615.08
  5. Step 5: Solve for x
    x = 638,615.08/877.40
  6. Step 6: Final answer
    x = 727.85

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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.