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Finding the Fourth Proportional to 876.96, 1,210.32 and 597.48

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Solution

The fourth proportional to 876.96, 1,210.32 and 597.48 is: 824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.96 : 1,210.32 = 597.48 : x
  2. Step 2: Convert to fraction form
    876.96/1,210.32 = 597.48/x
  3. Step 3: Cross multiply
    876.96x = 1,210.32 × 597.48
  4. Step 4: Simplify right side
    876.96x = 723,141.99
  5. Step 5: Solve for x
    x = 723,141.99/876.96
  6. Step 6: Final answer
    x = 824.60

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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.