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Finding the Fourth Proportional to 810.50, 1,117.56 and 597.74

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Solution

The fourth proportional to 810.50, 1,117.56 and 597.74 is: 824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.50 : 1,117.56 = 597.74 : x
  2. Step 2: Convert to fraction form
    810.50/1,117.56 = 597.74/x
  3. Step 3: Cross multiply
    810.50x = 1,117.56 × 597.74
  4. Step 4: Simplify right side
    810.50x = 668,010.31
  5. Step 5: Solve for x
    x = 668,010.31/810.50
  6. Step 6: Final answer
    x = 824.20

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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.