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Finding the Fourth Proportional to 952.47, 1,315.08 and 598.50

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Solution

The fourth proportional to 952.47, 1,315.08 and 598.50 is: 826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.47 : 1,315.08 = 598.50 : x
  2. Step 2: Convert to fraction form
    952.47/1,315.08 = 598.50/x
  3. Step 3: Cross multiply
    952.47x = 1,315.08 × 598.50
  4. Step 4: Simplify right side
    952.47x = 787,075.38
  5. Step 5: Solve for x
    x = 787,075.38/952.47
  6. Step 6: Final answer
    x = 826.35

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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.