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Finding the Fourth Proportional to 1,140.48, 1,573.08 and 697.68

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Solution

The fourth proportional to 1,140.48, 1,573.08 and 697.68 is: 962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.48 : 1,573.08 = 697.68 : x
  2. Step 2: Convert to fraction form
    1,140.48/1,573.08 = 697.68/x
  3. Step 3: Cross multiply
    1,140.48x = 1,573.08 × 697.68
  4. Step 4: Simplify right side
    1,140.48x = 1,097,506.45
  5. Step 5: Solve for x
    x = 1,097,506.45/1,140.48
  6. Step 6: Final answer
    x = 962.32

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Half scale
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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.