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Finding the Fourth Proportional to 877.32, 1,210.90 and 598.23

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Solution

The fourth proportional to 877.32, 1,210.90 and 598.23 is: 825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.32 : 1,210.90 = 598.23 : x
  2. Step 2: Convert to fraction form
    877.32/1,210.90 = 598.23/x
  3. Step 3: Cross multiply
    877.32x = 1,210.90 × 598.23
  4. Step 4: Simplify right side
    877.32x = 724,396.71
  5. Step 5: Solve for x
    x = 724,396.71/877.32
  6. Step 6: Final answer
    x = 825.69

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Double scale
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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.